Question

2. The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.___

​(Simplify your answer. Round to three decimal places as​ needed.)

3. A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0

minutes. Find the probability that a given class period runs between 50.75 and 51.25 minutes.

Find the probability of selecting a class that runs between 50.75 and 51.25 minutes._____

​(Round to three decimal places as​ needed.)

Answer 1

Let X denotes the waiting time of a randomly selected passenger.

X ~ Uniform(0, 9)

The probability density function of X is

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes

3 Let X denotes the length of a randomly selected class period.

X ~ Uniform(46, 56)

The probability density function of X is

The probability that a given class period runs between 50.75 and 51.25 minutes