The Uniform Distribution · Exercise 29

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).

(a) Graph the probability distribution.
(b) f(x) = _________
(c) μ = _________
(d) σ = _________
(e) Find the probability that a person is born at the exact moment week 19 starts. That is, find P(x = 19) = _________
(f) P(2 < x < 31) = _________
(g) Find the probability that a person is born after week 40.
(h) P(12 < x $|$ x < 28) = _________

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

OpenStax, Introductory Business Statistics 2e · §5.2 The Uniform Distribution · Exercise 29