Answer:
a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.
b) 0 is the most likely value for X.
Step-by-step explanation:
For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
No-show rate of 10%.
This means that [tex]p = 0.1[/tex]
Four travelers who have made hotel reservations in this study.
This means that [tex]n = 4[/tex]
a) What is the probability that at least two of the four selected will turn to be no-shows?
This is [tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486[/tex]
[tex]P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036[/tex]
[tex]P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523[/tex]
0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.
b) What is the most likely value for X?
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]
[tex]P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486[/tex]
[tex]P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036[/tex]
[tex]P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001[/tex]
X = 0 has the highest probability, which means that 0 is the most likely value for X.
Joshua created the following sequence. This sequence grows at a constant rate. Fill in the blanks with the missing terms of the sequence 13, 65
Answer:
13,65,117
Step-by-step explanation:
65-13=52
52+65=117
What is the simplest form of 3/5 + 1/3
Answer:
8/15 +5/15 = 12/15 = 4/5
Step-by-step explanation:
what quantity should be added to both sides of this equation to complete the square x^2+12x=-15
Answer:
36
Step-by-step explanation:
Please guys I really need you're help
Y =
2 + 1 and 4x - ly = 14 are
4
parallel lines.
O True
O False
Select the correct comparison.
Set A
Set B
...
...
2 4 8 10
0 2 4 6 8
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set A. The spread is greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
D. The typical value and the spread are both greater in set A.
Answer:
it is B.
Step-by-step explanation:
Suppose the probability of a false positive result on a mammogram is 4%. Suppose that the probability of a false negative result on a mammogram is 2%. Assume that the probability that a randomly chosen woman has breast cancer is 0.0002. If a woman has a positive test result, what is the probability that she actually has breast cancer
Answer:
0.0049 = 0.49% probability that she actually has breast cancer
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test result
Event B: Breast cancer
Probability of a positive test result:
4% of (1 - 0.0002)
98% of 0.0002
So
[tex]P(A) = 0.04*(1 - 0.0002) + 0.98*0.0002 = 0.040188[/tex]
Having breast cancer and testing positive.
98% of 0.0002
So
[tex]P(A \cap B) = 0.98*0.0002 = 0.000196[/tex]
What is the probability that she actually has breast cancer?
[tex]P(B|A) = \frac{0.000196}{0.040188} = 0.0049[/tex]
0.0049 = 0.49% probability that she actually has breast cancer
(-8 times (-2/3)
Easy 7th grade work pls answer in fraction form
Answer:
[tex]-8 \times \frac{-2}{3}\\\\= \frac{-8 \times -2}{3} \\\\= \frac{16}{3}[/tex]
The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.
Answer:
What is acceleration?
Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”
Step-by-step explanation:
Plz I need help Plz I need help Plz I need help Plz I need help Plz I need help!!!!!!!!!!!!!!!!!!!!!!
Plsss help me with this math question!!!
Answer:
Option c.
Step-by-step explanation:
Volume = length * breadth *height
According to the question,
(3/2 * 1/2 * 2)ft^3
= 3/2ft^3
Hope this helped :)
Is 0.35 greater than 4/9
Answer:
No
Step-by-step explanation:
It is not because 0.35 is less then 4/9 or 0.44444.
Circuit City is having a sale on computers. Max picks out a computer that was originally $1199.99 If the computer is 41% off, What is the final price of the computer? Round to the nearest penny.
Answer:
$707.9941 rounded is $707.99
Step-by-step explanation:
41%=0.41
1199.99*0.41=491.9959
$1199.99-$491.9959=$707.9941
$707.9941 rounded is $707.99
the four doesn't round up so it would just be $707.99.
Hope this helped!
If a worker is making $8 an hour how much would they make in 6 hours?
Answer:
$48
Step-by-step explanation:
8•6= 48
.....uchild
Solve the inequality:
10x+5≥25
Select one:
x≥30
x≥20
x≥3
x≥2
i hope this helps! let me know if i got something wrong.
inverse operation of x+7= 33
A store buys a jackets for $20.00 and sells it for 80% more than that what is the selling price of the jacket
Answer:
$36
Step-by-step explanation:
in the beginning $20 is %100 so divide 20 by 100 .you'll get .2 but to make this simple you'll want %10 so multiply .2 times 10 and you get 2 .now that 2 is %10 and you want %80 you multiply 2 8 times (or add it 8 times) because %10 times 8 = %80 so 2 times 8 = 16 .now that you have the %80 you want to add it to the %100 because they sold it for %80 then the price they bought if for (you get %180) . then you add the $20 to the $16 because that is what each percent equals (you get $36)
Answer:
$36
Step-by-step explanation:
What we know: The jacket is marked up by 80% of the jacket. The store is now selling the jacket for 180% of what they bought it for.
Set up problem: x 180%
___ = ____
$20 100%
What do the numbers mean when set up like this(referring to problem set up): We know that $20 is the original price of the jacket. So $20 is 100% of the jacket(if that makes sense). Markup is 80% because "sells it for 80% more" . So it goes on top.
Solving the Problem#1: 180 x 20 = 3600
Solving the Problem#2: 3600/1000= $36
Checking My Math: What is 80% of $20. Let's divide $20 into 4 parts.
$4 + $4 + $4 + $4 + $4 =20
$4 is 20% of 20
$8 is 40% of 20
$12 is 60% of 20
$16 is 80% of 20
$20 is 100% of 20
Final Answer: $36 is the selling price of the jacket
Note: I used a scientific calculator for some calculations.
Please no links just the letter answer and explanation please
Answer:
-6.5 degrees/km
Step-by-step explanation:
I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2
Does the Y-axis or X-axis come first?
Answer:
X
Step-by-step explanation:
The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!
AT&T would like to test the hypothesis that the average revenue per retail user for Verizon Wireless customers is greater than $50. A random sample of 32 Verizon Wireless customers provided an average revenue of $54.70. It is believed that the population standard deviation for the revenue per retail user is $11.00. Using LaTeX: \alpha=0.05α = 0.05 , answer the following questions: a. Identify the null and alternative hypotheses to conduct an appropriate hypothesis test of mean. (3 points) b. Use the critical value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) c. Use the p-value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) d. Assume that the actual population mean for revenue per retail user is $44.30. Calculate the probability of type II error. (5 points)
Answer:
H0; u = 50 average revenue equals 50
H1: u not equal to 50, average revenue not equal to 50
This is 2 tailed
Alpha = 0.05
Z critical = 1.6449
We find the test statistics
Mean = 54.7
Sd = 11
n = 32
barX - u/sd/√n
= 54.70-50/11/√32
= 4.70/1.9435
= 2.418
Decision rule: reject H0 if test statistic > critical value. Accept if otherwise
2.418>1.6449
We reject H0
We conclude that average revenue is not equal to zero
C. P(z>=2.418) = 0.9922
1 - 0.9922
= 0.0078 (I used Ms excel here)
0.0078 < 0.05
So we Reject h0
If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?
Answer:
$12
$8
Step-by-step explanation:
Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared
sum of ratios = 3 + 2 = 5
(3/5) x 20 = $12
Amount Arnav received = (ratio of Arnav's share / sum of ratios) x amount shared
(2/5) x 20 = $8
or
$20 - $12 = $8
Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch
Answer:
The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.
Step-by-step explanation:
The equation of a ellipse centered in the origin in standard form is defined by following formula:
[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)
Where [tex]a, b[/tex] are the coefficients of the ellipse.
Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:
[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]
[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]
[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]
Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:
[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)
[tex]c = 12[/tex]
The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:
[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]
In what ways do peer-to-peer lending and traditional lending differ?
find the length of line segment connecting (2,1) and (3,3)
Answer:
square root of 5
Step-by-step explanation:
Use distance formula:
[tex]\sqrt{(3-1)^2 + (3-2)^2} \\\sqrt{2^2 + 1^2}\\\sqrt{4 + 1} \\\sqrt{5}[/tex]
M- Determine whether or not the procedure described below results in a binomial distribution. If it is not binomial, identify at least one requirement that is not satisfied.Six hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 5500 registered voters. Each is asked if he or she is a member of political party
A. Yes, the result is a binomial probability distribution.B. No, the trials are not independent and the sample is more than 5% of the population.C. No, there are more than two possible outcomes.D. No, the number of trials is not fixed.E. No, the probability of success is not the same in all trials
Answer:
A. Yes, the result is a binomial probability distribution.
Step-by-step explanation:
The experiment above depicts a binomial probability distribution because the 4 required conditions are met :
1.) The distribution is independent as the possible outcome of each trial is the same.
2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No
3.) The number of observation is fixed at sample size of 5500
4.) The probability of success and failure of each trial is the same for all trials in the sample.
Hence, we can conclude that the experiment depicts a binomial probability distribution.
60 centimeters + 4 meters
What is the answer in centimeters
Answer:
its 460centimeters hope i helped
triangle. l m is the image of triangle lmn after a translation. How are the side lengths and angle measures of the triangles related? Explain
Answer:
Angle L would still be 45 degrees because the size of the triangle did not change when it was moved
Step-by-step explanation:
Pls help asap will mark brainliest firtst answer!!
Answer:
The answer is C
Step-by-step explanation:
9 of the 20 drawn were red
9/20* 100 = 45
Can someone PLEASE HELP!!
If you get right I will mark brainly
Answer:
i would go with D 8
Step-by-step explanation: i think that since it rised by 3 millimeters and the rock is 24 grams i think you would divide 24 by 3
Are there any verticals angles? If so name them.
Answer:
No, there are no vertical angles shown.