->0.5).The time(in hours) required to repair a machine is an exponentially distributedrandom variable with parameter λ = 2. What is(a) the probability that a repair time exceeds 2 hours?(b) the conditional probability that a repair takes at least 10 hours, given that itsduration exceeds 9 hours?

Followings are the answer of the question

Answered: The time (in hours) required to repair…

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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The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 2. What is (a) the probability that a repair time exceeds 2 hours? (b) the conditional probability that a repair takes at least 10 hours, given that its duration exceeds 9 hours?