The Uniform Distribution · Exercise 31

For each probability and percentile problem, draw the picture.

Births are approximately uniformly distributed throughout the year. They can be said to follow a uniform distribution from 0 to 52 (spread of 52 weeks).

(a) X ~ _________
(b) Graph the probability distribution.
(c) f(x) = _________
(d) μ = _________
(e) σ = _________
(f) Find the probability that a person is born at the exact moment week 19 ends. That is, find P(x = 19) = _________
(g) P(2 < x < 31) = _________
(h) Find the probability that a person is born after week 40.
(i) P(12 < x|x < 28) = _________
(j) Find the 70^th percentile.
(k) Find the minimum for the upper quarter.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §5.2 The Uniform Distribution · Exercise 31