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Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 0.1. What is (a) the probability that a repair takes less than 5 hours? 0.39346934 (b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 8 hours?

Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 0.1. What is (a) the probability that a repair takes less than 5 hours? 0.39346934 (b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 8 hours?

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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Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 0.1. What is (a) the probability that a repair takes less than 5 hours? 0.39346934 (b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 8 hours?
Transcribed Image Text:Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 0.1. What is (a) the probability that a repair takes less than 5 hours? 0.39346934 (b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 8 hours?
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