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show work Previous Problem List Next (2 points) The amount of time it takes for

ID: 3361105 • Letter: S

Question

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Previous Problem List Next (2 points) The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 25 and 64 minutes. One student is selected at random. Find the probability of the following events. A. The student requires more than 58 minutes to complete the quiz.07360992208450928 B The student completes the quiz in a time between 30 and 36 minutes.12879352 C The student completes the quiz in exactly 43 minutes. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times Your overall recorded score is 0% You have unlimited attempts remaining Email instructor

Explanation / Answer

a) P(More than 58 minutes are required)

= (64 - 58) / (64 - 25)

= 2/13

b) P(Between 30 and 36 minutes required)

= (36 - 30) / (64 - 25)

= 2/13

c) P(Exactly 43 minutes) = 0

Since for a continuous distribution, probability on a single point is always 0.