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