Lemma
MediumContinuous distributions
OpenStax, Introductory Business Statistics 2e §5.2 The Uniform Distribution · Exercise 32 · Probability · Continuous distributions

The Uniform Distribution · Exercise 32

For each probability and percentile problem, draw the picture.

A subway train on the Red Line arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution.

(a) Define the random variable. X = _______
(b) Graph the probability distribution.
(c) f(x) = _______
(d) μ = _______
(e) σ = _______
(f) Find the probability that the commuter waits less than one minute.
(g) Find the probability that the commuter waits between three and four minutes.

~8 minWritten answer · compare with the solution

OpenStax, Introductory Business Statistics 2e · §5.2 The Uniform Distribution · Exercise 32

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