An electronic switching device occasionally malfunctions, but the device is considered satisfactory if it makes, on average, no more than 0.20 error per hour. A particular 5-hour period is chosen for testing the device. If no more than 1 error occurs during the time period, the device will be considered satisfactory. a. What is the probability that a satisfactory device will be considered unsatisfactory on the basis of the test? Assume a Poisson process. b. What is the probability that a device will be accepted as satisfactory when, in fact, the mean number of errors is 0.25? Again, assume a Poisson process
An electronic switching device occasionally malfunctions, but the device is considered satisfactory if it makes, on average, no more than 0.20 error per hour. A particular 5-hour period is chosen for testing the device. If no more than 1 error occurs during the time period, the device will be considered satisfactory. a. What is the probability that a satisfactory device will be considered unsatisfactory on the basis of the test? Assume a Poisson process. b. What is the probability that a device will be accepted as satisfactory when, in fact, the mean number of errors is 0.25? Again, assume a Poisson process
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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Question
An electronic switching device occasionally malfunctions, but the device is
considered satisfactory if it makes, on average, no more than 0.20 error per hour. A
particular 5-hour period is chosen for testing the device. If no more than 1 error
occurs during the time period, the device will be considered satisfactory.
a. What is the
unsatisfactory on the basis of the test? Assume a Poisson process.
b. What is the probability that a device will be accepted as satisfactory when, in
fact, the mean number of errors is 0.25? Again, assume a Poisson process
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