.oo du LTE 3:30 PM 47% courses1.webwork.maa.org ch4: Problem 12 Previous Problem

Question

.oo du LTE 3:30 PM 47% courses1.webwork.maa.org ch4: Problem 12 Previous Problem Problem List Next Problem (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 59 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 39 and 44 minutes. Probability = C. The student completes the quiz in exactly 44.44 minutes. Probability =

Explanation / Answer

a = 35 b = 59

b - a = 59 - 35 = 24

A. P(x > 54) = (59 - 54) / 24

= 5/24 = 0.2083.

b. P(39 < X < 44) = (43-39) / 24 = 4/24 = 1/6 = 0.1167

P(39 <= X <= 44) = (44-38)/24 = 6/24 = 1/4 = 0.25.

c. P(X = 44.44) = 1/24 = 0.0417.

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