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 65 minutes. One student is selected at random. Find the probability of the following events A. The student requires more than 61 minutes to complete the quiz Probability = B. The student completes the quiz in a time between 32 and 39 minutes Probability C. The student completes the quiz in exactly 43.14 minutes Probability =

Explanation / Answer

In the uniform distribution a=28 and b =65

a) P(x>61)=(65-61)/(65-28)=0.108

b) P(32<x<39)=(39-32)/(65-28)=0.189

c) P(x=43.14)=0 because point probability zero defined for uniform distribution

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