Question

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 57.0 minutes. Find the probability that a given class period runs between 50.75 and 51.25 minutes.

Answer 1

P=0.05 or 5%

Explanation:

The formula to calculate the probability in a continuous uniform distribution is:

`P=(d-c)/(b-a)`

Where a is the lower value of the limits of the distribution (a=47.0), b is the upper value of the limit of the distribution (b=57.0), c It is the lowest value in the range from which probability is calculated (c=50.75) and d It is the highest value in the range from which probability is calculated (d=51.25).

`P=(51.25-50.75)/(57.0-47.0) =0.05`