(1 pt) The amount of time it takes for a student to complete a statistics quiz i
ID: 3340157 • Letter: #
Question
(1 pt)
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 27 and 55 minutes. One student is selected at random. Find the probability of the following events.
A. The student requires more than 49 minutes to complete the quiz.
Probability =
B. The student completes the quiz in a time between 31 and 36 minutes.
Probability =
C. The student completes the quiz in exactly 42.34 minutes.
Probability =
Explanation / Answer
a = 27 b = 55
b - a = 55 - 27 = 28
a. P(X > 49)
= (55 - 49) / 28
= 6/28 = 0.2143.
b. P(31 <= X <= 36)
= (36 - 31) / 28
= 5/28 = 0.1786.
c. P(X = 42.34)
= 1/28 = 0.0357.
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