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 50.5 and 50.75 minutes.

Find the probability of selecting a class that runs between

50.5

and

50.75

minutes.

Answer 1

Solution :

Given that,

a = 47.0

b = 52.0

P(c < x < d) = (d - c) / (b - a)

P(50.5 < x < 50.75) = (50.75 - 50.5) / (52.0 - 47.0)

P(50.5 < x < 50.75) = 0.05