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).
Find the probability that a person is born at the exact moment week 6 starts. That is, find
P(x = 6). (Enter your answer to four decimal places.)
P(x = 6) =
Part (g)
Enter an exact number as an integer, fraction, or decimal.
P(4 < x < 33) =
Part (h)
Find the probability that a person is born after week 41. (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 < 24) =
Part (j)
Find the 80th 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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