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?
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