Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform Distribution from 1 – 53 (spread of 52 weeks). Round all answers to two decimal places.  D. The probability that a person will be born between weeks 5 and 18 is P(5 < x < 18) =                             [ Select ]                          ["0.33", "0.04", "0.25", "0.08"]           E. The probability that a person will be born after week 30 is P(x > 30) =                            [ Select ]                          ["0.58", "0.56", "0.44", "0.02"]           F. P(x > 17 | x < 21) =                             [ Select ]                          ["0", "0.40", "0.69", "0.20"]           G. Find the 40th percentile.                             [ Select ]                          ["21.8", "20.00", "18.9", "0.75"]           H. Find the minimum for the upper quartile.

Question
Asked Oct 17, 2019

Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform Distribution from 1 – 53 (spread of 52 weeks). Round all answers to two decimal places.  

D. The probability that a person will be born between weeks 5 and 18 is P(5 < x < 18) =                             [ Select ]                          ["0.33", "0.04", "0.25", "0.08"]           

E. The probability that a person will be born after week 30 is P(x > 30) =                            [ Select ]                          ["0.58", "0.56", "0.44", "0.02"]           

F. P(x > 17 | x < 21) =                             [ Select ]                          ["0", "0.40", "0.69", "0.20"]           

G. Find the 40th percentile.                             [ Select ]                          ["21.8", "20.00", "18.9", "0.75"]           

H. Find the minimum for the upper quartile. 

check_circleExpert Solution
Step 1

Hello! As you have posted 5 sub parts, we are answering the first 3 sub-parts.  In case you require the unanswered parts also, kindly re-post that parts separately.

Step 2

D.

 

The probability that a person will be born between weeks 5 and 18 is  0.25 and it is calculated below:

 

From the given information, Births are uniformly distributed between 52 weeks. That is, the random variable X as the births follows Uniform distribution [1, 53].

18
P(5 <x< 18) f(x) ax
5
18
1
-dx
53 1
18
1
-dc
52
52
<[18-5
52
=0.25
help_outline

Image Transcriptionclose

18 P(5 <x< 18) f(x) ax 5 18 1 -dx 53 1 18 1 -dc 52 52 <[18-5 52 =0.25

fullscreen
Step 3

E.

 

The probability that a person will be born after week 30 is ...

53
P(x >30)= f(x)d
30
53
1
dx
53-1
30
1
53
30
52
1
[53-30]
52
0.44
-
help_outline

Image Transcriptionclose

53 P(x >30)= f(x)d 30 53 1 dx 53-1 30 1 53 30 52 1 [53-30] 52 0.44 -

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be ...

A: Part a)Probability that the person is female is 0.56.Calculations:

question_answer

Q: Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value...

A: From the given information, Binomial experiment with p = 0.5 and the sample size is n =100.

question_answer

Q: compute the probability of X successes, using Table B in appendix A.n=12, p=0.90, x=2I believe they ...

A: It is given that n =12, p = 0.90 and X = 2.The probability mass function of binomial distribution is...

question_answer

Q: A research study comparing three treatments with n = 5 in each treatment produces T1 = 5, T2 = 10, T...

A: It is given that the number of treatments is 3.The total number of treatments, n is (5 x 3) = 15.The...

question_answer

Q: An intenal study by the Technology Services department at Lahey Electronics revealed company employe...

A: a. Consider a random variable X which, follows Poisson distribution, indicates number of non-work re...

question_answer

Q: I'm currently working on sampling distribution and proportions in my college intro to stats class. I...

A: It is given that p is 0.1 and n is 500. Therefore, q = 0.9 (= 1 –p = 1 – 0.9).

question_answer

Q: You estimate a regression equation that estimates individuals’ yearly income as a function of age (m...

A: The estimated regression equation is,I = 26.3+4.21×Age+7.21×Education+0.23×IQ

question_answer

Q: Find the probability of each

A: 11.a. The probability of it was a cheese pizza eaten at work is obtained below:From the given inform...

question_answer

Q: A set of n= 5 pairs of X and Y values has SSx = 16, SSy = 4 and SP = 2. For these data, what is the ...

A: It is given that, SSx is 16, SSy is 4, and SP = 2.