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 34 and 56 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 51 minutes to complete the quiz. Probability = B. The student completes the quiz in a time between 38 and 45 minutes. Probability C. The student completes the quiz in exactly 41.06 minutes. Probability

Explanation / Answer

For a uniform distribution the lower value is a=34 and higher value is b=56

a) P(x>51)= (b-x)/(b-a) = (56-51)/(56-34) =0.2273

b) P(38<x<45)=(45-38)/(56-34)=0.3182

c) exact probability is 0 for a continuous distribution

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