The length of time required by students to complete a one-hour exam is a random variable
Chapter 4, Problem 4.17(choose chapter or problem)
The length of time required by students to complete a one-hour exam is a random variable with a density function given by f (y) = $ cy2 + y, 0 y 1, 0, elsewhere. a Find c. b Find F(y). c Graph f (y) and F(y). d Use F(y) in part (b) to find F(1), F(0), and F(1). e Find the probability that a randomly selected student will finish in less than half an hour. f Given that a particular student needs at least 15 minutes to complete the exam, find the probability that she will require at least 30 minutes to finish.
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