The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.
a. Find the mathematical expression for the probability density function.
b. Compute the probability that a student will take between 45 and 50 minutes to complete the examination
c. Compute the probability that a student will take no more than 40 minutes to complete the examination.
d. What is the expected amount of time it takes a student to complete the examination?
e. What is the variance for the amount of time it takes a student to complete the examination?
a. f(x) = .05 for 40 ? x ? 60; 0 elsewhere
b. .25
c. 0
d. 50 minutes
e. 33.33 (minutes)2
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