1 point) The amount of time it takes for a student to complete a statistics quiz

Question

1 point) 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 35 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 41 and 46 minutes. Probability C. The student completes the quiz in exactly 41.25 minutes Probability-

Explanation / Answer

Solution:- Given that uniformly distributed a = 35, b = 60

a) P(X > 54) = 1 - P(X < 54) = 1 - ((54 - a)/(b - a))
= 1 - ((54 - 35)/(60 - 35))
= 1 - 0.76
= 0.24

b) P(41 < X < 46) = ((46 - 41)/(b - a))
= ((46 - 41)/(60 - 35))
= 0.20

C) P(X = 41.25) = Zero, because this is continuous random variable.

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