You may need to use the appropriate appendix table or technology to answer this question.A...

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You may need to use the appropriate appendix table or technology to answer this question.A binomial probability distribution has p =0.20 and n =100.(a)What are the mean and standard deviation?mean Correct: Your answer is correct.standard deviation Correct: Your answer is correct.(b)Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain.Yes, because np 5 and n(1 p)5.No, because np <5 and n(1 p)<5. Yes, because n 30.No, because np 5 and n(1 p)5.Yes, because np <5 and n(1 p)<5.Correct: Your answer is correct.(c)What is the probability of exactly 25 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) Incorrect: Your answer is incorrect.(d)What is the probability of 18 to 22 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)(e)What is the probability of 13 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

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