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2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density function is given (units in months) by {kxe f(x) = x > 0. x< 0 (a) What is the probability that the system functions for at most 4 months? (b) What is the probability that the system functions for at least 3 months?

2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density function is given (units in months) by {kxe f(x) = x > 0. x< 0 (a) What is the probability that the system functions for at most 4 months? (b) What is the probability that the system functions for at least 3 months?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density function is given (units in months) by f(x) = {kxe x > 0. x < 0 (a) What is the probability that the system functions for at most 4 months? (b) What is the probability that the system functions for at least 3 months?
Transcribed Image Text:2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density function is given (units in months) by f(x) = {kxe x > 0. x < 0 (a) What is the probability that the system functions for at most 4 months? (b) What is the probability that the system functions for at least 3 months?
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