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A new surgical procedure is successful with probability p = 0.8. Assume that theoperation is performed five times and the results are independent of one

A new surgical procedure is successful with probability p = 0.8. Assume that theoperation is performed five times and the results are independent of one another.

(a) What is the probability that all five operations are successful?

(b) What is the probability that less than two operations are successful?

(c) Find the mean and standard deviation of number of successful operation.

(d) If the procedure is performed 100 times, what is the probability that at least 95operations are successful?

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