The amount of time it takes for a student to complete a stat

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 61 minutes. One student is selected at random. Find the probability of the following events.

A) The student required more than 55 mins to complete the quiz?
B) The student completes the quiz in a time between 34-41 mins?
C) The student completes the quiz in exactly 44.92 mins?

Solution

Hi,

(a) integrate 55 to 61 [1/(61 - 30)] = 0.1935
(b) integrate 34 to 41 [1/(61 - 30)] = 0.2258
(c) 0

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 61 minutes. One student is selected at random. F

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