The amount of time it takes for a student to complete a statistics quiz is unifo

Question

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 28 and 60 minutes. One student is selected at random. Find the probability of the following events.

A. The student requires more than 54 minutes to complete the quiz.
Probability =

B. The student completes the quiz in a time between 34 and 38 minutes.
Probability =

C. The student completes the quiz in exactly 42.51 minutes.
Probability =

Explanation / Answer

Solution:- between 28 and 60 minutes
A) Probability = (60 - 54)/(60 - 28) = 0.1875

B) Probability = (38 - 34)/(60 - 28) = 0.125

C) Probability = (42.51 - 42.41)/(60 - 28) = 0.0031

Note that C assumes that we are rounding to the nearest hundredth of a minute.

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