Suppose that the probability that a certain machine will breakdown on any given day is 0.04,...

Suppose that the probability that a certain machine will breakdown on any given day is 0.04, and let X denote the number of breakdowns that occur over the course of a year. (Assume it is not a leap year)

A. What is the expected number of breakdowns?

B. What is the variance?

C. What is the probability that the machine will have between 10 to 15 breakdowns a year?

D. Suppose a visiting technician wants to report on the effectiveness of the machine. Unfortunately, the technician can only observe the machine for a week. What is the probability that the machine will breakdown at least once during the technician’s visit?

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orchestra answered 2 years ago

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