Question

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 51.0 minutes.

Answer 1

0.15 or 15%

Explanation:

Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

`P(x_1\leq x \leq x_2)=(x_2-x_1)/(b-a)`

In this case, a = 47.0 and b = 52.0 minutes.

The probability that a given class period runs between 50.25 and 51.0 minutes is:

`P(50.25\leq x \leq 51.0)=(51.0-50.25)/(52-47) \\P(50.25\leq x \leq 51.0)=0.15=15\%`

The probability is 0.15 or 15%.