A computer program has a bug that causes it to fail once in every thousand runs, on average. In an effort to find the bug, independent runs of the program will be made until the program has failed five times.
a. What is the mean number of runs required?
b. What is the standard deviation of the number of runs required?
Let be the number of runs up to and including the fifth failure.
Then NB(5, 0.001).
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