The mean amount of time it takes a kidney stone to pass is 13 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible.

Answers

Answer 1

Answer:

X ~ Norm ( 13 , 25 )

P ( X > 17 ) = 0.2119

16.37 days

Step-by-step explanation:

Solution:-

- We are given a distribution for the amount of time for a kidney stone to pass.

- The distribution is parameterize by the mean time taken ( u ) and the standard deviation ( s ) as follows:

                                 u = 13 days

                                 s = 5 days

- Here, we will define a random variable X: The time taken by a kidney stone to pass to be normally distributed with parameters ( u ) and ( s ). We express the distribution in the notation form as follows:

                              X ~ Norm ( u , s^2 )

                              X ~ Norm ( 13 , 25 )

- We are to determine that a randomly selected individual takes more than 17 days for the stone to pass through.

- We will first standardize the limiting value for the required probability by computing the Z-score as follows:

                            [tex]Z-score = \frac{X - u}{s} \\\\Z-score = \frac{17 - 13}{5} \\\\Z-score = 0.8[/tex]

- We will use the standard normal table to determine the probability of kidney stone passing in less than 17 days ( Z = 0.8 ); hence, we have:

                           P ( X < 17 ) = P ( Z < 0.8 )

                           P ( X < 17 ) = 0.7881

- To compute the probability of an individual taking more than 17 days would be " total probability - P ( X < 17 )  as follows" . Where the total probability of any distribution is always equal to 1.

                        P ( X > 17 ) = 1 - P ( X < 17 )

                        P ( X > 17 ) = 1 - 0.7781

                        P ( X > 17 ) = 0.2119

- Nest we are to determine the amount of days it would take for an individual to lie in the upper quarter of the spectrum. We can interpret this by looking at the limiting value corresponding to the P ( X > x ) = 0.25.

- The upper quartile of any distribution amounts to probabilities: " > x = 0.25 " or " < x = 0.75 ".

- We will use the standard normal table for ( Z-score ) and look-up the Z-score value corresponding to P ( Z < a ) = 0.75 as follows:

                       P ( Z < a ) = 0.75

                       a = 0.674

- Now we will use the standardizing formula used in previous part and compute the value of "x" associated with the limiting Z-score value:

                       [tex]Z-score = \frac{x-u}{s} = 0.674\\\\x = 0.674*s + u\\\\x = 0.674*5 + 13\\\\x = 16.37[/tex]

Answer: It would should take more than 16.37 days for an individual if he is to lie in the upper quartile of the defined distribution.


Related Questions

Order the numbers from least to greatest: -5, 6, and 9.

Answers

Answer: -5, 6, and 9

Step-by-step explanation:

Step-by-step explanation:

least to greatest

-5 6 9

What time did they arrive at the airport?

Answers

Answer:

32

Step-by-step explanation:

What two numbers is the square root of 74 between?​

Answers

Answer:

8 and 9

Step-by-step explanation:

√64 = 8

√81 = 9

√74 falls inbetween those 2

8 and 9
8*8=64
9*9=81
74 is between those

Prove your work what is 1/12 of a dozen Branliest

Answers

Answer:

1/12 of a dozen is 1

Step-by-step explanation:

One dozen means 12. If you ask for 1/12 of 12, you multiply 12 and 1/12. You should get 1 as your answer.

1/12 is a dozen of of 1

Parking at a large university has become a very big problem. University administrators are interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 250 students and carefully recorded their parking times. Identify the population of interest to the university administration.

Answers

Answer:

The population of interest is all the students at the University, to find their parking times.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

Here, the population of interest is all New York state residents.

An administrator inconspicuously followed 250 students and carefully recorded their parking times.

Sample of 250 students at the University.

So the population of interest is all the students at the University, to find their parking times.

The number of hits on a certain website during a one-minute interval follows a Poisson distribution with a mean rate of four hits per minute. What is the probability that there is at least one hit in a 30-second period (that is the probability of one or more hits)

Answers

Answer:

86.47% probability that there is at least one hit in a 30-second period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean rate of four hits per minute.

This means that [tex]\mu = 4n[/tex], in which n is the number of minutes.

What is the probability that there is at least one hit in a 30-second period

30 seconds is 0.5 minutes, so [tex]\mu = 4*0.5 = 2[/tex]

Either the site doesn't get a hit during this period, or it does. The sum of the probabilities of these events is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1353 = 0.8647[/tex]

86.47% probability that there is at least one hit in a 30-second period

A company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year. The first payment will record interest expense of $4800 and will reduce principal by

Answers

Answer: $8179

Step-by-step explanation:

The principal is the amount of money that is invested at a particular interest rate.

In this scenario, we are informed that a company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year.

Since the first payment will record interest expense of $4800, then for us to get the amount that the principal will be reduced by, we subtract the interest expense made from the equal payments that are made at each year end. This will be:

= $12979 - $4800

= $8179

In the interval 0° < x < 360°, find the values of x for which tan x = 2.7475
Give your answers to the nearest degree,
1​

Answers

Answer:

[tex]70^\circ, 250^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan x= 2.7475[/tex]

and  [tex]0^\circ < x < 360^\circ[/tex] i.e. [tex]x[/tex] lies in the interval [tex]0^\circ[/tex] to [tex]360^\circ[/tex] or [tex]0\ to\ 2\pi[/tex].

To find: The possible values for x in the interval [tex]0^\circ[/tex] to [tex]360^\circ[/tex] = ?

First of all, let us learn something about [tex]tan\theta[/tex].

In a right angled triangle the value of [tex]tan\theta[/tex] can be calculated as follows:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

i.e. [tex]tan\theta[/tex]  is equal to the ratio of Perpendicular to Base in a right angled triangle.

We are given that:

[tex]tan x= 2.7475[/tex]

[tex]\Rightarrow x = tan^{-1}(2.7475)\\\Rightarrow x = 70^\circ[/tex]

So, the value of x in first quadrant is [tex]70^\circ[/tex].

It is also known that value of tangent is positive in the first and third quadrant.

We are given a positive value of tangent here,

So, another value of [tex]x = 180^\circ+70^\circ = 250^\circ[/tex]

Hence, the correct answers are:  [tex]x=70^\circ, 250^\circ[/tex]

Compare and contrast the following piecewise
defined functions.
(-x+ 2 x<0
X+2, x<0
f(x) =
x? + 1, x>0 X + 2, x>0
g(x)=

Answers

Answer:

Both piecewise functions have a linear portion and a quadratic portion.  The y-intercepts of both linear pieces are the same, 2.  The quadratics are both open upward, but have different y-intercepts (one at 1, one at 2).  The linear portion of the first function is decreasing, while the linear portion of the second function is increasing.

Step-by-step explanation:

Comparing and contrast of the functions are shown in below.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given piecewise functions are;

⇒ f (x) = { - x + 2 ; x < 0

         = { x² + 1 ; x > 0

Now, Comparison and contrast of the above piecewise functions are,

The similarities are;

1) Both piecewise functions are linear when x < 0.

2) Both piecewise functions are quadratic when x > 0.

3) The magnitude the slope of the linear part both function are equal.

4) The leading coefficient of the quadratic function are the same.

5) The y-intercept of the linear function are equal, therefore, the linear functions in f(x) and g(x) intersect on the y-axis.

6) The domain of the linear and quadratic functions are the same.

The contrasts (differences) in the function are;

1) The slope of the linear function of g(x) is positive and the slope of the linear function of f(x) is negative.

2) The y-intercept of the quadratic function in f(x) is +1, while the y-intercept of the quadratic function in g(x) is +2.

3) The quadratic function in f(x) and g(x) have graphs that do not intersect.

Learn more about the function visit:

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MY LAST 3 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
1. Curtis is trying to justify a step in his paragraph proof. What is the property that he should use? AB=BC therefore BC=AB

A) Equality of Congruence Property

B) Reflexive Property of Congruence
C) Symmetric Property of Congruence
D) Transitive Property of Congruence

2. All of the following would make a formal proof incomplete except what?

A) Incomplete sentences
B) Errors in logic
C) A lack of justifications

3. Which step in the proof has a flaw? IMAGE BELOW Given B is the midpoint of AC prove AB=BC
A) Step 2
B) No flaws.

Answers

Answer:

1. C

2. A

3. A

Step-by-step explanation:

1. It is the Symmetric Property of Congruence because the definition is literally what it says.

2. Incomplete sentences don't matter as long as you have the right stuff.

3. Step 2 is wrong because it should be Definition of Midpoint.

If Curtis is attempting to defend a step in his proof paragraph. He should apply the symmetric property of congruence so that he can demonstrate that AB=BC and that BC=AB. It's best to choose C.

What is geometry?

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

A)If Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

B)All of the following would make a formal proof incomplete except Incomplete sentences. Option A is correct.

C)Step 2 in the proof has a flaw Because it is not a symmetric property while they show congruency because it must be a midpoint definition. Option A is correct.

Thus, if Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

Learn more about geometry here:

brainly.com/question/16836548

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One solution to the problem below is 10. what is the other solution?

b^2-100=0

Answers

Answer:

the same

Step-by-step explanation:

Answer:

The two solutions can be +10 and -10

Step-by-step explanation:

b^2 - 100 = 0

b^2 = 100

Take the root of both sides

b = +- 10

b = +10 , b = -10

Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation? c=-6

Answers

Answer:

  5

Step-by-step explanation:

To put the equation in standard form, add 6 to both sides.

  x^2 +4x -1 +6 = -6 +6

  x^2 +4x +5 = 0

The new value of "c" (the constant) is 5.

Answer:

C or 5 for me

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

1/2

Step-by-step explanation:

There are two sides of a coin, therefor you have 1/2 a chance of getting heads or tails. 1/2=50%

Answer:

50%

Step-by-step explanation:

There are 2 sides of a coin which have an equal chance of landing on the visible side. In other words, they each have half of the chance, or 50%.

Error Analysis A problem on a test says that 70% of people enjoy the beach. The students are


asked to use the simulation numbers below to estimate the probability that exactly one person says


he or she enjoys the beach. Let the numbers 0-6 represent a person who enjoys going to the beach


and let 7-9 represent a person who does not. One student says that the probability is about 100%.


Estimate the probability that exactly one person enjoys the beach. What error might the student have


made?


(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)


Use the simulation to estimate the experimental probability that exactly one person enjoys the beach


is 40%


Enter your answer in the answer box and then click Check Answer


pan


rema

Answers

Answer:

Probability that exactly one person says he or she enjoys the beach = 80%

Check Explanation for how to get this and which error the studemt that made the 100% claim must have made.

Step-by-step explanation:

The simulation presented is that for a series of two people sample.

Numbers 0 to 6 represents that the beach-goer enjoys going to the beach and numbers 7 to 9 represents that the beach-goer doesn't enjoy going to the beach.

So, the simulation is then obtained to be

(5,8) (2,7) (0,9) (0,2) (9,0) (1,9) (4,7) (0,3) (6,7) (7,5)

Using the simulation, estimate the probability that exactly one person says he or she enjoys the beach

From the simulation, the ones with exactly one of the two numbers ranging from 0 to 6 to indicate enjoying going to the beach include

(5,8) (2,7) (0,9) (9,0) (1,9) (4,7) (6,7) (7,5)

The probability of an event is defined and expressed as the number of elements in that event divided by the total number of elements in the sample space.

Probabilty that exactly one person says he or she enjoys the beach = (8/10) = 0.80 = 80%

The student claims that this probability is 100%, but the other two simulations that did not satisfy the condition of exactly one person saying that he or she enjoys the beach include

(0,2) and (0,3), which show that in the two cases, the two participants both expressed enjoying going to the beach.

The student's error must have been in counting these two simulations as part of 'exactly one person saying he or she enjoys the beach' which is indeed an error.

Hope this Helps!!!

Three solid shapes, A B and C are similar. The surface area of shape A is 9cm² The surface area of shape B is 16cm² The ratio of the volume of shape B to shape C is 27:125 Work out the ratio of the height of shape A to shape B Give your answer in its simplest form.

Answers

Answer:

9:20

Step-by-step explanation:

The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures.

If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)².

Therefore, (A/B )² = 9/16

square root both sides A/B = √9/√16 A/B = 3/4 A:B = 3:4

The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures.

Therefore, (B/C)³ = 27/125 cube root both sides B/C = 3/5 B:C = 3:5

To make the ratio equivalent A:B:C = 9:12:20

A:C = 9:20

8. Suppose Betty saves $200 each month in her 401(k) account. How much less will her monthly take-home pay be? (Assume a combined 20% state and federal income tax rate, as in the example.)

Answers

Note: Check the file attached below for the complete question

Answer:

Betty's monthly take home is $20 less

Step-by-step explanation:

Betty's monthly income = $2300

Betty's monthly savings = $200

Amount left after savings = $2300 - $200

Amount left after savings = $2100

Federal and State Income tax rate = 20% = 0.2

Tax amount paid = $420

Monthly take home = $2100 - $420

Monthly take home = $1680

Compared to $150 per month savings, Betty's monthly take home is $20 less

Angle bisectors $\overline{AX}$ and $\overline{BY}$ of triangle $ABC$ meet at point $I$. Find $\angle C,$ in degrees, if $\angle AIB = 109^\circ$.

Answers

Answer:

<C = [tex]38^{o}[/tex]

Step-by-step explanation:

Given that: <AIB = [tex]109^{o}[/tex]

<AIB + <BIX = [tex]180^{o}[/tex] (sum of angles on a straight line)

[tex]109^{o}[/tex] + <BIX =  [tex]180^{o}[/tex]  

<BIX =  [tex]180^{o}[/tex] - [tex]109^{o}[/tex]

<BIX = [tex]71^{o}[/tex]

But,

<AIB = <YIX = [tex]109^{o}[/tex] (opposite angle property)

<XIB = <AIY = [tex]71^{o}[/tex]  (opposite angle property)

Therefore,

[tex]\frac{A}{2}[/tex] + [tex]\frac{B}{2}[/tex] =  [tex]71^{o}[/tex] (Exterior angle property)

[tex]\frac{A + B}{2}[/tex] =  [tex]71^{o}[/tex]

A + B = [tex]142^{o}[/tex]

A + B + C =  [tex]180^{o}[/tex] (sum of angles in a triangle)

 [tex]142^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]142^{o}[/tex]

C = [tex]38^{o}[/tex]

Thus, angle C is [tex]38^{o}[/tex].

Please help me with this problem, I can't figure it out

Answers

Answer: 44

Step-by-step explanation:

This is a confusing problem to look at, so use PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction).

5 * (-4) + (1 - (-3)^2)^2      simplify inside the parenthesis

5 * (-4) + (1 - 9)^2

5 * (-4) + (-8)^2                simplify exponents

5 * (-4) + 64                     multiply

-20 + 64                          finally, addition

44

The answer is 44.
Hope this helps!!!

Determine whether the distribution is a probability distribution. x 0 1 2 3 4 5 ​P(x) StartFraction 1 Over 25 EndFraction one fifth one half three fourths StartFraction 1 Over 50 EndFraction StartFraction 1 Over 100 EndFraction Is the probability distribution a discrete​ distribution? Why? Choose the correct answer below. A. No comma because some of the probabilities have values greater than 1 or less than 0. B. Yes comma because the distribution is symmetric. C. Yes comma because the probabilities sum to 1 and are all between 0 and 1 comma inclusive. D. No comma because the total probability is not equal to 1. Click to select your answer and then click Check Answer.

Answers

Answer:

D. No comma because the total probability is not equal to 1.

Step-by-step explanation:

Given the distribution:

[tex]\left|\begin{array}{c|cccccc}x&0&1&2&3&4&5\\ P(x)&1/25&1/5&1/2&3/4& 1/50&1/100\end{array}\right|[/tex]

The sum of the probabilities

[tex]\sum P(x)=1/25+1/5+1/2+3/4+ 1/50+1/100\\\sum P(x) =1.52 \neq 1[/tex]

Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.

The correct option is D.

The measure of two angles of a triangle are 31 and 128 degrees. Find the measure of the third angle.

Answers

Answer:

21°

Step-by-step explanation:

All angles in a triangle add up to 180°.

180 - 31 - 128

= 21

The measure of the third angle is 21°.

The number 41,849 written to 4 significant figures is?

Answers

Answer:

  41,850

Step-by-step explanation:

The 4th digit from the left is in the 10s place, so you need to round to that place. This requires rounding up, since the 1s digit is more than 4.

  41,850 . . . . to 4 significant figures

Which division sentence is related to the product of a/3 (a/3) when A is not equal to 0?

Answers

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

[tex]a/3(a/3)[/tex]

[tex]a/3 \div 3/a=1[/tex]

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

Answer:

D. a/3 divided by 3/a = 1

Step-by-step explanation:

edge

PLZ I NEED THIS BY THE END OF THE DAY What are at least 5 examples of math that we often do in everyday life?

Answers

Answer:

cooking ( mesurments )

gardening ( landscape )

designing ( art )

shopping for the best price ( aka money counting )

car rides ( figuring out distance and time )

sewing.

hope this helped :)

Step-by-step explanation:

how many categories are shown in the rows?

Answers

Answer:

4 categories are shown in rows.

2 categories are shown in columns.

12 14 year olds.

82 people were polled.

describe this diagram help please ​

Answers

Answer:

U are finding the slope. so the vertical line is ur rise(x value) and the horizontal line is ur y value. Hopefully that helped

The Resource Conservation and Recovery Act mandates the tracking and disposal of hazardous waste produced at U.S. facilities. Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities. Only eight of these facilities treated hazardous waste on-site.

Required:
a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site? Interpret this result.
b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Answers

Answer:

(a) [tex]E(X) = 0.383[/tex]

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) [tex]P(x = 4) = 0.000169[/tex]

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

[tex]$ E(X) = \frac{n \times r}{N} $[/tex]

[tex]$ E(X) = \frac{10 \times 8}{209} $[/tex]

[tex]$ E(X) = \frac{80}{209} $[/tex]

[tex]E(X) = 0.383[/tex]

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

[tex]$ P(x = 4) = \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}} $[/tex]

For the given case, we have

N = 209

n = 10

r = 8

x = 4

[tex]$ P(x = 4) = \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}} $[/tex]

[tex]$ P(x = 4) = \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}} $[/tex]

[tex]$ P(x = 4) = \frac{70 \times 84944276340}{35216131179263320}[/tex]

[tex]P(x = 4) = 0.000169[/tex]

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

The results of a survey of common allergies was organized into a Venn diagram. Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1. Answer the questions about the following sets: D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen} How many people are not allergic to any of the three choices? How many people are allergic to all three choices? How many people are allergic to both dogs and cats but not allergic to pollen? How many people are allergic to cats only?

Answers

Answer:

first blank: 22

second blank: 1

third blank: 7

fourth blank: 18

Step-by-step explanation:

edge 2020

Answer: 22, 1, 7, 18

The results of a survey of common allergies was organized into a Venn diagram.

Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1.

Answer the questions about the following sets:

D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen}

How many people are not allergic to any of the three choices?

✔ 22

How many people are allergic to all three choices?

✔ 1

How many people are allergic to both dogs and cats but not allergic to pollen?

✔ 7

How many people are allergic to cats only?

✔ 18

Find the x intercept of the line 2x-3y=-19

Answers

Answer:

See below.

Step-by-step explanation:

Recall that the x-intercept is basically: (x,0).

In other words, we just need to substitute y with 0 in order to find the x-intercept.

Thus, we will have:

[tex]2x-3(0)=-19[/tex]

[tex]2x=-19[/tex]

[tex]x=-19/2[/tex]

According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment
(b) Find and interpret the probabdity that exadly 15 flights are on time.
(c) Find and interpret the probability that fewer than 15 flights are on time.
(d) Find and interpret the probability that at least 15 flights are on time.
(e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. Each trial depends on the previous trial
B. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
C. The experiment is performed unti a desired number of successes is reached
D. The trials are independent.
E. The probability of success is the same for each trial of the experiment.
F. There are two mutually exclusive outcomes, success or failure.
G. The experiment is performed a fixed number of times.​

Answers

Answer:

See the answers below. Thanks!

Step-by-step explanation:

(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."

(b). P(X=15) = 0.1702

(c). P(X<15) = 0.0673

(d). P(X>=15) = 1 - P(X<15) = 0.9327

(e). P(13<=X<=15) = 0.1482

Best Regards!

Please answer this correctly

Answers

Answer:

60%

Step-by-step explanation:

In the spinner there are 5 numbers. 3 of them are odd and 2 of them are even and because each number has 1/5 chance of being chosen, you have a 3/5 chance of choosing an odd number. 3/5 = 60/100 = 60%

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