Suppose a battery has a useful life described by the exponential distribution with a mean of 500 days. a) What is the probability that it will fail before its expected lifetime? b) What is the probability that it will not fail within the first year? c) What is the probability that a battery which has lasted 365 days will operate beyond its expected lifetime? (Use Markov’s property)
Suppose a battery has a useful life described by the exponential distribution with a mean of 500 days. a) What is the probability that it will fail before its expected lifetime? b) What is the probability that it will not fail within the first year? c) What is the probability that a battery which has lasted 365 days will operate beyond its expected lifetime? (Use Markov’s property)
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 a battery has a useful life described by the exponential distribution with a
- a) What is the
probability that it will fail before its expected lifetime? - b) What is the probability that it will not fail within the first year?
- c) What is the probability that a battery which has lasted 365 days will operate beyond its expected lifetime? (Use Markov’s property)
- d) What is the median amount of days the battery will last?
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