A) The amount of time it takes students to complete a Statistics II quiz is uniformly distributed between 30 to 60 minutes. One student is selected at random. Find the following: a. The probability density function (pdf) of amount of time taken for the quiz. b. The probability that the student requires more than 50 minutes to complete the quiz. c. The probability that the student completes the quiz in a time between 35 and 40 minutes. d. The probability that the student requires at least 45 minutes to complete the quiz. e. The probability that the student completes the quiz exactly 52 minutes. f. Compute the expected time and the coefficient of variation to complete the quiz.

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SECTION A: THEORY.
1. A) The amount of time it takes students to complete a Statistics II quiz is uniformly distributed
between 30 to 60 minutes. One student is selected at random. Find the following:
a. The probability density function (pdf) of amount of time taken for the quiz.
b. The probability that the student requires more than 50 minutes to complete the quiz.
c. The probability that the student completes the quiz in a time between 35 and 40 minutes.
d. The probability that the student requires at least 45 minutes to complete the quiz.
e. The probability that the student completes the quiz exactly 52 minutes.
f. Compute the expected time and the coefficient of variation to complete the quiz.
B) Using 95% confidence, how large a sample should be taken to obtain a margin of error for the
estimation of a population proportion of 0.065? Assume that the data are not available for developing
the planning value for n.
Transcribed Image Text:SECTION A: THEORY. 1. A) The amount of time it takes students to complete a Statistics II quiz is uniformly distributed between 30 to 60 minutes. One student is selected at random. Find the following: a. The probability density function (pdf) of amount of time taken for the quiz. b. The probability that the student requires more than 50 minutes to complete the quiz. c. The probability that the student completes the quiz in a time between 35 and 40 minutes. d. The probability that the student requires at least 45 minutes to complete the quiz. e. The probability that the student completes the quiz exactly 52 minutes. f. Compute the expected time and the coefficient of variation to complete the quiz. B) Using 95% confidence, how large a sample should be taken to obtain a margin of error for the estimation of a population proportion of 0.065? Assume that the data are not available for developing the planning value for n.
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