Answer:
$17.5
Step-by-step explanation:
hello,
we need to compute P(30)
P(30) = 0.5*30 + 2.5 = 15 + 2.5 = 17.5
hope this helps
What are the zeros of f(x) = x^2 + x - 20?
A. x= -4 and x = 5
B. x= -2 and x = 10
C. x= -5 and x = 4
O D. x= -10 and x = 2
Benny is trying to learn how to ride a bike, but is terrified of falling. He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1; if he learns to ride a bike by using a bike without training wheels, his probability of falling is 0.5, and if he uses a unicycle, his probability of falling is 0.8. Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.
a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?
b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?
Answer:
a) 7.14% probability that Benny was learning to ride a bike using the training wheels
b) 28% probability that Benny was learning to ride a bike using the training wheels
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.
a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?
So
Event A: Benny fell
Event B: Benny was using training wheels.
The probability that Benny was using each of these 3 methods is equal
This means that [tex]P(B) = \frac{1}{3}[/tex]
He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;
This means that [tex]P(A|B) = 0.1[/tex]
Probability of falling:
1/3 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.
1/3 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5
1/3 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then
[tex]P(A) = \frac{0.1 + 0.5 + 0.8}{3} = 0.4667[/tex]
So
[tex]P(B|A) = \frac{\frac{1}{3}*0.1}{0.4667} = 0.0714[/tex]
7.14% probability that Benny was learning to ride a bike using the training wheels
b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?
Similar as above, just some probabilities change.
Event A: Benny fell
Event B: Benny was using training wheels.
The probability that he was using training wheels is 0.7
This means that [tex]P(B) = 0.7[/tex]
He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;
This means that [tex]P(A|B) = 0.1[/tex]
Probability of falling:
0.7 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.
0.2 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5
0.1 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then
[tex]P(A) = 0.7*0.1 + 0.2*0.5 + 0.1*0.8 = 0.25[/tex]
So
[tex]P(B|A) = \frac{0.7*0.1}{0.25} = 0.28[/tex]
28% probability that Benny was learning to ride a bike using the training wheels
Need help with this . The picture is enclosed
Answer: (fоg)(24)=5
Step-by-step explanation:
(fоg)(24) is f of g of 24. This means you plug in g(24) into f(x).
[tex]g(24)=\sqrt{24-8}[/tex]
[tex]g(24)=\sqrt{16}[/tex]
[tex]g(24)=4[/tex]
Now that we know g(24), we can plug it into f(x).
f(4)=2(4)-3
f(4)=8-3
f(4)=5
Plz help for 80 points question is attached
Answer:
2 and 256
Step-by-step explanation:
Check the attachment
Answer:
2 and255
Step-by-step explanation:
look atyourquestion
which of the following is equivalent to this?
a: b over a divided by d over c
b: a over b divided by d over c
c: b over a divided by d over c
d: b over a divided by c over d
please help me!
Answer:
b: a over b divided by do over c
Step-by-step explanation:
You can solve this by plugging in numbers for each variable.
For example: a=1, b=4, c=1, d=2
1/4 ÷ 1/2 = 0.125
If you plug in the numbers for all the equations listed, only 1/4 ÷ 2/1 = 0.125.
Teaching descriptive statistics. A study compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures, computer instruction, and computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a 1-hour exam.
a. What are the hypotheses for evaluating if the average test scores are different for the different teaching methods?
b. What are the degrees of freedom associated with the F-test for evaluating these hypotheses?
c. Suppose the p-value for this test is 0.0168. What is the conclusion?
Answer:
Step-by-step explanation:
a. The hypotheses are:
Null hypothesis: the average test scores are the same for the different teaching methods.
Alternative hypothesis: the average test scores are different for the different teaching methods.
b. To determine the degree of freedom for the F test: we must find two sources of variation such that we have two variances. The two sources of variation are: Factor (between groups) and the error (within groups) and add this up. Or use (N - 1). N is number in sample
c. With a p value of of 0.0168 and using a standard significance level of 0.05, we will reject the null hypothesis as 0.0168 is less than 0.05 and conclude that the average test scores are different for the different teaching methods.
The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 228 customers on the number of hours cars are parked and the amount they are charged.
Number of Hours Frequency Amount Charged
1 21 $4
2 36 6
3 53 9
4 40 13
5 22 14
6 11 16
7 9 18
8 36 22
228
A. Convert the information on the number of hours parked to a probability distribution. Is this a discrete or a continuous probability distribution?
B. Find the mean and the standard deviation of the number of hours parked. How would you answer the question: How long is a typical customer parked?
C. Find the mean and the standard deviation of the amount charged.
Answer: A. This is a discrete probability distribution.
hours probability
1 0.09
2 0.16
3 0.23
4 0.17
5 0.09
6 0.05
7 0.04
8 0.16
B. E(X) = 4.12; σ = 2.21
C. μ = 12.75; s = 6.11
Step-by-step explanation: Probability Distribution is an equation or table linking each outcome of an experiment with its probability of ocurrence. For this case, since the experiment is performed a high number of times and in a long run, the relative frequency of the event is its probability. Therefore:
A. To convert to a probability distribution, find the probability through the frequency by doing:
Hour 1
P(X) = [tex]\frac{21}{228}[/tex] = 0.09
Hour 2
P(X) = [tex]\frac{36}{228}[/tex] = 0.16
Hour 3
P(X) = [tex]\frac{53}{228}[/tex] = 0.23
Hour 4
P(X) = [tex]\frac{40}{228}[/tex] = 0.17
Hour 5
P(X) = [tex]\frac{22}{228}[/tex] = 0.09
Hour 6
P(X) = [tex]\frac{11}{228}[/tex] = 0.05
Hour 7
P(X) = [tex]\frac{9}{228}[/tex] = 0.04
Hour 8
P(X) = [tex]\frac{36}{228}[/tex] = 0.16
The table will be:
hours probability
1 0.09
2 0.16
3 0.23
4 0.17
5 0.09
6 0.05
7 0.04
8 0.16
This is a discrete distribution because it lists all the possible values that the discrete variable can be and its associated probabilities.
B. Mean for a probability distribution is calculated as:
E(X) = ∑[[tex]x_{i}[/tex].P([tex]x_{i}[/tex])]
E(X) = 1*0.09 + 2*0.16+3*0.23+4*0.17+5*0.09+6*0.05+7*0.04+8*0.16
E(X) = 4.12
Standard Deviation is:
σ = √∑{[x - E(x)]² . P(x)}
σ = [tex]\sqrt{(1-4.12)^{2}*0.09 + (2-4.12)^{2}*0.16 + ... + (7-4.12)^{2}*0.04 + (8-4.12)^{2}*0.16}[/tex]
σ = [tex]\sqrt{4.87}[/tex]
σ = 2.21
The average number of hours parked is approximately 4h with a standard deviation of approximately 2 hours, which means that a typical costumer parks between 2 to 6 hours.
C. Mean for a sample is given by: μ = ∑[tex]\frac{x_{i}}{n}[/tex] , which is this case is:
μ = [tex]\frac{4+6+9+13+14+16+18+22}{8}[/tex]
μ = 12.75
Standard Deviation of a sample: s = √[tex]\frac{1}{n-1}[/tex]∑([tex]x_{i}[/tex] - μ)²
s = [tex]\sqrt{ \frac{(4-12.75)^{2} + (6-12.74)^{2} + ... + (18-12.75)^{2} + (22-12.75)^{2} }{8-1}}[/tex]
s = 6.11
The average amount charged is 12.75±6.11.
a circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
Answer:
125.72
Step-by-step explanation:
radius equals pi(r)2
rectangle equals b times h
radius is 6.28
rectangle is 132
you now subtract them
132 minus 6.28 which is 125.72
hope this helps
Answer:
No the other answer is wrong, I just did it, this is the right answer for sure, I will give it right after you subscibe to Iconic Cooking, here is the answer...
Step-by-step explanation:
128.86
When $\frac{1}{1111}$ is expressed as a decimal, what is the sum of the first 40 digits after the decimal point?
Answer:
90
Step-by-step explanation:
1/1111= 0. (0009) cycles of 0009 after decimal point (one 9 per 4 digits)
Number of digits 9:
40/4= 1010*9= 90Answer:
90
Step-by-step explanation:
Solve for b. -11b+7 = 40 Two step equations
Step-by-step explanation:
-11b + 7 = 40
-11b = 40 - 7
-11b = 33
b = 33/-11
b = - 3
Find the most suitable system of coordinates to describe cylindrical shell of height 10 determined by the region between two cylinders with the same center, parallel rulings, and radii of 2 and 6 respectively.
Answer:
The answer is explained below
Step-by-step explanation:
We have a system that would be a cylindrical shell with a certain length. I will attach an allusive image, they ask us to determine which would be the most suitable system of coordinates:
Most suitable surface is cylindrical annular for this annular 30 disk most suitable coordinate system would be Cylindrical Coordinate System as one at coordinate "z" remains constant and that would be advantageous
george cut a cake into 8 equal pieces. what is the unit fraction for the cake
Answer: 1/8
Step-by-step explanation:
Unit Fractions: A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n.
Example of Unit Fractions: 1/1, 1/2, 1/3, 1/4 ,1/5, etc.
Hope this helps! Please mark as brainliest!
The unit fraction of the cake is 1/8
What is a unit fraction?A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.
A unit fraction is therefore the reciprocal of a positive integer, 1/n.
Examples are 1/1, 1/2, 1/3, 1/4, 1/5, etc.
Given that, George cut a cake into 8 equal pieces, we need to find the unit fraction for the cake
Since, George cut the cake in 8 equal pieces so, 1 part will be shown by 1/8 of the cake, that mean 1/8 is one unit of the cake, we can say that 1/8 is the unit of the whole cake.
Hence, the unit fraction of the cake is 1/8
Learn more about unit fractions, click;
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A random sample of 4000 U.S. citizens yielded 2280 who are in favor of gun control legislation. Find the point estimate for estimating the proportion of all Americans who are in favor of gun control legislation.
Answer:
[tex] n= 4000[/tex] represent the sample size of citizens selected
[tex] X= 2280[/tex] represent the people who are in favor of gun control legislation
[tex]\hat p =\frac{X}{n}[/tex]
And replacing we got:
[tex]\hat p= \frac{2280}{4000}= 0.57[/tex]
Step-by-step explanation:
For this problem we have the following info given:
[tex] n= 4000[/tex] represent the sample size of citizens selected
[tex] X= 2280[/tex] represent the people who are in favor of gun control legislation
And for this case we want to estimate the roportion of all Americans who are in favor of gun control legislation and for this case we can use the following formula:
[tex]\hat p =\frac{X}{n}[/tex]
And replacing we got:
[tex]\hat p= \frac{2280}{4000}= 0.57[/tex]
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
What does h(3.2) represent?
the height of the rock 3.2 seconds before it reaches the ground
the time it takes the rock to reach the ground, or 3.2 seconds
the time it takes the rock to reach a height of 3.2 meters
the height of the rock 3.2 seconds after it is propelled
Answer:
h(3.2) represents the height of the rock 3.2 seconds after it is propelled. Remember, h(t) represents the height of a rock t seconds after it is propelled.
Answer:
D
Step-by-step explanation:
the height of the rock 3.2 seconds before it reaches the ground
the time it takes the rock to reach the ground, or 3.2 seconds
the time it takes the rock to reach a height of 3.2 meters
the height of the rock 3.2 seconds after it is propelled
A tire manufacturer is measuring the margin of error in the thickness of their tires to make sure it is within safety limits. Overall, the tires' thickness is normally distributed with a mean of 0.45 inches and a standard deviation of 0.05 inches. What thickness separates the lowest 5% of the means from the highest 95% in a sample size of 65 tires
Answer:
Z = -1.65
[tex]\bar x \approx 0.44 \ inches[/tex]
Step-by-step explanation:
The main objective is to compute the data for the Z value and determine the [tex]\bar x[/tex] of the sample distribution
Given that;
the tires' thickness is normally distributed with a mean μ = 0.45 in
standard deviation σ = 0.05 in
sample size = 65 tires
Also; we are being told that the thickness separates the lowest 5% of the means from the highest 95%
∴
P(Z < Z) =0.05
From the Z- table
P(Z < -1.645) = 0.05
Z = -1.65
Similarly;
Let consider [tex]\bar x[/tex] to be the sample mean;
Then:
mean [tex](\mu_{\bar x}) = \mu = 0.45[/tex]
standard deviation[tex](\sigma_{\bar x} ) = \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]=\dfrac{0.05}{\sqrt{65}}[/tex]
= 0.00620174
By applying the Z-score formula:
x = μ + ( Z × σ )
[tex]\bar x = \mu _{\bar x} +(Z * \sigma _{\bar x})[/tex]
[tex]\bar x = 0.45 + (-1.65 *0.00620174)[/tex]
[tex]\bar x= 0.439767129[/tex]
[tex]\bar x \approx 0.44 \ inches[/tex]
please solve this for me T_T
If
[tex]x - \sqrt{a} [/tex]
is a factor of
[tex]2 {x}^{4} - 2 {a}^{2} {x}^{2} - 3 {x} + 2 {a}^{3} - 2 {a}^{2} + 3[/tex]
then find the value of
[tex]a[/tex]
Answer:
[tex]\boxed{\sf \ a = 1 \ }[/tex]
Step-by-step explanation:
let s assume that a >=0 so that we can take the square root
if [tex]x-\sqrt{a}[/tex] is a factor of this expression it means that [tex]\sqrt{a}[/tex] is a root of it
it comes
[tex]2*(\sqrt{a})^4-2*a^2*(\sqrt{a})^2-3*\sqrt{a}+2*(\sqrt{a})^3-2(\sqrt{a})^2+3=0[/tex]
So
[tex]2*a^2-2*a^3-3*\sqrt{a}+2*a*\sqrt{a}-2*a+3=0[/tex]
we can notice that 1 is a trivial solution as
2-2-3+2-2+3=0
so the answer is 1
let s double check
if a =1
the expression is
[tex]2x^4-2x^2-3x+2-2+3=2x^4-2x^2-3x+3[/tex]
and we can write
[tex]2x^4-2x^2-3x+3=(x-1)(2x^3+2x^2-3)[/tex]
so 1 is the correct answer
How do I solve 24-27?
Answer:
-3
Step-by-step explanation:
You find the difference between the numbers, which is 3. Then you make it negative since 24 is less than 27.
Solve for x in the equation x squared + 10 x + 12 = 36. x = –12 or x = 2 x = –11 or x = 1 x = –2 or x = 12 x = –1 or x = 11
Answer:
-12 or x = 2.
Step-by-step explanation:
It take Donna 15 minutes to complete 3 levels of Candy Crush. At this rate, how many levels will she complete in 3 hours?
Answer: she will have 36 levels completed
Please answer this correctly
Answer:
yes
Step-by-step explanation:
not every person is going to have the same opinion, so it is yes.
// have a great day //
Answer:
Yes, because if Pedro asked them the question "what do you think of public transportation?" the majority would probably say that they like it or something along those lines. This is biased because there may be other city inhabitants who don't think very highly of public transportation. Basically, what I'm trying to say is that not everyone will have the same opinion.
assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetins or classes.
Answer:
0.3032
Step-by-step explanation:
Use binomial probability.
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
P = ₆C₃ (0.45)³ (0.55)³
P = 0.3032
4. Rational, irrational (4 points) (1) (2 points) Prove or disprove that if x y is an irrational number, then x or y is also an irrational number. (2) (2 points) Prove that if x 2 is irrational, then x is irrational. (Hint: try a proof by contrapositive)
Answer:
See explanation below
Step-by-step explanation:
1) Prove or disprove that if [tex] x^y[/tex] is an irrational number, then x or y is also an irrational number.
Let's take the following instances:
i) When x= 2 and y=[tex] \sqrt{2} [/tex] we have: [tex] 2^\sqrt^{^2^} [/tex]
ii) When [tex] x=2\sqrt{2} [/tex] and y=3, we have: [tex] (x=2\sqrt{2})^3 [/tex]
iii) When [tex] x=2\sqrt{2} [/tex] and [tex] y = \sqrt{2}[/tex], we have: [tex] (2\sqrt{2})^\sqrt^{^2^}[/tex]
It is proven because, in scenario
i) x is rational and y is irrational
ii) x is irrational and y is rational
iii) x and y are irrational
2) Prove tha x² is irrational, then x is irrational.
Use contradiction here.
Thus, x² is irrational and x is rational.
[tex] x =\frac{b}{a} [/tex] when x is rational, a & b are integers.
Therefore, [tex] x^2 =\frac{b^2}{a^2} [/tex]. This x² is rational.
This contradicts the statement that x² is irrational.
Therefore, if x² is irrational, x is also irrational.
Find the common ratio for this geometric sequence. 243, 27, 3, 1/3, 1/27.
Answer:
1/9
Step-by-step explanation:
Since each next term is 1/9 of the last, the common ratio is 1/9. This can be confirmed by the fact that 243*1/9=27, 27*1/9=3, 3*1/9=1/3, and so on. Hope this helps!
Jalisa earned $71.25 today babysitting, which is $22.50 more than she earned babysitting yesterday. The equation d + 22.50 = 71.25 can be used to represent this situation, where d is the amount Jalisa earned babysitting yesterday. Which is an equivalent equation that can be used to find the amount Jalisa earned babysitting yesterday? 71.25 minus 22.50 = d 71.25 + 22.50 = d d + 71.25 = 22.50 d minus 22.50 = 71.25
Answer:
71.25 - 22.50 = d
Step-by-step explanation:
To find how much she earned yesterday, we subtract how much she earned today by the amount more she earned.
Answer:
A
Step-by-step explanation:
What is g(x)?
5-
X
10
-10
Answer: g(x)= -x^2
Step-by-step explanation:
BRO THIS IS THE MOST BASIC ALGEBRA 1 !?!?!?!?!?!?!?!
box + box + box equals to 30
OPTIONS (1,3,5,7,9,11,13,15)
Step-by-step explanation:
[tex] \boxed{3!} + \boxed{9 }+ \boxed{15} = 30 \\ \because \: 3! = 3 \times 2 \times 1 = 6 \\ \therefore \: 6 + 9 + 15 = 30[/tex]
The probability a person has read a book in the past year is 0.81. The probability a person is considered a millennial is 0.28. The probability a person has read a book in the past year and is considered a millennial is 0.25
(a) Find P(Millennial | Read a Book).
(b) Find P(Not Millennial | Did Not Read a Book).
(c) Are being considered a millennial and having read a book in the past year independent events? Justify your answer mathematically.
Answer:
(a) P(Millennial | Read a Book) = 0.3086
(b) P( Not Millennial | Did Not Read a Book) = 0.8421
(c)
P(Millennial and Read a Book) = P(Read a Book) × P(Millennial)
0.25 = 0.81 × 0.28
0.25 ≠ 0.2268
Since the relation doesn't hold true, therefore, being considered a millennial and having read a book in the past year are not independent events.
Step-by-step explanation:
The probability a person has read a book in the past year is 0.81.
P(Read a Book) = 0.81
The probability a person is considered a millennial is 0.28.
P(Millennial) = 0.28
The probability a person has read a book in the past year and is considered a millennial is 0.25.
P(Millennial and Read a Book) = 0.25
(a) Find P(Millennial | Read a Book)
Recall that Multiplicative law of probability is given by
P(A ∩ B) = P(B | A) × P(A)
P(B | A) = P(A ∩ B) / P(A)
For the given case,
P(Millennial | Read a Book) = P(Millennial and Read a Book) / P(Read a Book)
P(Millennial | Read a Book) = 0.25 / 0.81
P(Millennial | Read a Book) = 0.3086
(b) Find P(Not Millennial | Did Not Read a Book)
P( Not Millennial | Did Not Read a Book) = P(Not Millennial and Did Not Read a Book) / P(Did Not Read a Book)
Where
∵ P(A' and B') = 1 - P(A or B)
P(Not Millennial and Did Not Read a Book) = 1 - P(Millennial or Read a Book)
∵ P(A or B) = P(A) + P(B) - P(A and B)
P(Millennial or Read a Book) = P(Read a Book) + P(Millennial) - P(Millennial and Read a Book)
P(Millennial or Read a Book) = 0.81 + 0.28 - 0.25
P(Millennial or Read a Book) = 0.84
So,
P(Not Millennial and Did Not Read a Book) = 1 - 0.84
P(Not Millennial and Did Not Read a Book) = 0.16
Also,
∵ P(A') = 1 - P(A)
P(Did Not Read a Book) = 1 - P(Read a Book)
P(Did Not Read a Book) = 1 - 0.81
P(Did Not Read a Book) = 0.19
Finally,
P( Not Millennial | Did Not Read a Book) = P(Not Millennial and Did Not Read a Book) / P(Did Not Read a Book)
P( Not Millennial | Did Not Read a Book) = 0.16/0.19
P( Not Millennial | Did Not Read a Book) = 0.8421
(c) Are being considered a millennial and having read a book in the past year independent events? Justify your answer mathematically.
Mathematically, two events are considered to be independent if the following relation holds true,
P(A and B) = P(A) × P(B)
For the given case,
P(Millennial and Read a Book) = P(Read a Book) × P(Millennial)
0.25 = 0.81 × 0.28
0.25 ≠ 0.2268
Since the relation doesn't hold true, therefore, being considered a millennial and having read a book in the past year are not independent events.
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≤2), n=5, p=0.8
Answer:
0.0579
Step-by-step explanation:
P(X≤2) = P(X=0) + P(X=1) + P(X=2)
P(X≤2) = ₅C₀ (0.8)⁰ (0.2)⁵ + ₅C₁ (0.8)¹ (0.2)⁴ + ₅C₂ (0.8)² (0.2)³
P(X≤2) = 0.00032 + 0.0064 + 0.0512
P(X≤2) = 0.0579
Probability of obtaining a success is 0.0579 .
Here,
Binomial distribution formula:
P(x:n,p) = nCx px (1-p)n-x Or P(x:n,p) = nCx px (q)n-x
Substituting the values of n and p
n = 5
p = 0.8
So,
P(X≤2) = P(X=0) + P(X=1) + P(X=2)
P(X≤2) = ₅C₀ (0.8)⁰ (0.2)⁵ + ₅C₁ (0.8)¹ (0.2)⁴ + ₅C₂ (0.8)² (0.2)³
P(X≤2) = 0.00032 + 0.0064 + 0.0512
P(X≤2) = 0.0579
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Determine whether the following statement is true or false.
To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal.
a. True
b. False
Answer:
Step-by-step explanation:
In constructing a confidence interval about the mean, the central limit theorem is usually applied. This makes it possible to use the normal distribution. As the number of samples is increasing, the distribution tends to be normal. This would require using the z distribution. In the case where the sample size is small, we assume a normal distribution and use the t distribution. Therefore, the given statement is true.
A model with 12 squares labeled exact value and 3 squares labeled error. A model with 18 squares labeled exact value and 3 squares labeled Error. Which is true of the models? Check all that apply. Both exact values are less than the approximate value. The percent errors are the same. The top model has a greater percent error. The bottom model has a greater percent error. The absolute error is the same for both.
Answer:
a,c,e
Step-by-step explanation:
on edge-
Answer:
The answer is A, C, E