5.2 Exercise 36

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.

1. Define the random variable. X = _______
2. Graph the probability distribution.
3. f(x) = _______
4. μ = _______
5. σ = _______
6. Find the probability that the commuter waits less than one minute.
7. Find the probability that the commuter waits between three and four minutes.