Question

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 50.75 minutes.

Answer 1

The probability that a given class period runs between 50.25 and 50.75 minutes = 0.25

Explanation:

Length of the class = 52 - 50 = 2

The probability density is
`(1)/(2) = 0.5`

The probability that a given class period runs between 50.25 and 50.75 minutes. is calculated by multiplying range with the probability density.

Range = 50.75 - 50.25 = 0.5

Now the probability P (50.25<x<50.75) = 0.5 × 0.5 = 0.25

This is the probability that a given class period runs between 50.25 and 50.75 minutes.