A manufacturer of processors for communication devices has established that the defect probability of its manufacturing process

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A manufacturer of processors for communication devices has established that the defect probability of its manufacturing process is 0.05.

(a) What is the probability of having at the most two defective processors in a sample of 30 processors?

(b) What is the probability of having more than three defective processors in a sample of 30 processors?

(c) What is the probability of having one to five defective processors in a sample of 30 processors?

(d) What is the probability of having no defective processors in a sample of 30 processors?

(e) What are the mean and standard deviation of the number of defective processors?

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