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The time T required to repair a machine is exponentially distributed with mean 1/2 hours. a) What is the probability that a repair time exceeds half an hour? b) What is the probability that a repair time exceeds 40 minutes? c) What is the probability that a repair time will be between 35 and 45 minutes?

The time T required to repair a machine is exponentially distributed with mean 1/2 hours. a) What is the probability that a repair time exceeds half an hour? b) What is the probability that a repair time exceeds 40 minutes? c) What is the probability that a repair time will be between 35 and 45 minutes?

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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The time T required to repair a machine is exponentially distributed with mean 1/2 hours. a) What is the probability that a repair time exceeds half an hour? b) What is the probability that a repair time exceeds 40 minutes? c) What is the probability that a repair time will be between 35 and 45 minutes? The random variable Y has a mean of 30 and a variance of 16 and let T = =Y+5. a) Compute E(T) and Var(T). b) Can you compute the following probability P(10.5 ≤ T ≤ 12)? Explain why.
Transcribed Image Text:The time T required to repair a machine is exponentially distributed with mean 1/2 hours. a) What is the probability that a repair time exceeds half an hour? b) What is the probability that a repair time exceeds 40 minutes? c) What is the probability that a repair time will be between 35 and 45 minutes? The random variable Y has a mean of 30 and a variance of 16 and let T = =Y+5. a) Compute E(T) and Var(T). b) Can you compute the following probability P(10.5 ≤ T ≤ 12)? Explain why.
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