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

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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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