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For each probability and percentile problem, draw the picture. Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks). Part (a) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X ~

For each probability and percentile problem, draw the picture. Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks). Part (a) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X ~

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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For each probability and percentile problem, draw the picture.

Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).

  • Part (a)

    Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)
    X ~

 

  •  
    ,
     

  • Part (b)

    Graph the probability distribution.
       
       

  • Part (c)

    Enter exact numbers as integers, fractions, or decimals.
    f(x) =
     
  •  
    ,    where ≤ x≤

  • Part (d)

    Enter an exact number as an integer, fraction, or decimal.
    μ =

  • Part (e)

    Round your answer to two decimal places.
    σ =

  • Part (f)

    Find the probability that a person is born at the exact moment week 29 starts. That is, find
    P(x = 29).
    (Enter your answer to four decimal places.)
    P(x = 29) =

  • Part (g)

    Enter an exact number as an integer, fraction, or decimal.
    P(2 < x < 23) =

  • Part (h)

    Find the probability that a person is born after week 39. (Enter an exact number as an integer, fraction, or decimal.)

  • Part (i)

    Enter an exact number as an integer, fraction, or decimal.
    P(13 < x | x < 22) =

  • Part (j)

    Find the 60th percentile. (Enter your answer to one decimal place.)
    weeks

  • Part (k)

    Find the minimum for the upper quarter. (Enter an exact number as an integer, fraction, or decimal.)
    weeks

 

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