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)
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Chapter1: Combinatorial Analysis
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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

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