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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College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...

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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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