Exercise 6: Suppose that the number of hours that a student takes to finish an exam is given by the probability density function: |(x+1), 2< x< 3 f(x) = otherwise. 0, (a) What is the probability that the student finishes in less than 2.5 hours? (b) What is the expected value of the number of hours is takes a student to finish the exam? (c) What is the variance for the number of hours it takes a student to finish the exam?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Exercise 6: Suppose that the number of hours that a student takes to finish an exam is given by the probability
density function:
|(x+1),
2< x< 3
f(x) =
otherwise.
0,
(a) What is the probability that the student finishes in less than 2.5 hours?
(b) What is the expected value of the number of hours is takes a student to finish the exam?
(c) What is the variance for the number of hours it takes a student to finish the exam?
Transcribed Image Text:Exercise 6: Suppose that the number of hours that a student takes to finish an exam is given by the probability density function: |(x+1), 2< x< 3 f(x) = otherwise. 0, (a) What is the probability that the student finishes in less than 2.5 hours? (b) What is the expected value of the number of hours is takes a student to finish the exam? (c) What is the variance for the number of hours it takes a student to finish the exam?
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