Assume a binomial probability distribution has p = 0.80 and n = 400. a) what is the mean and standard deviation b) is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. c) what is the probability of 300 to 310 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) d) what is the probability of 330 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) e) what is the advantage of using the normal probability distribution to approximate the binomial probabilities? f) how would you calculate the probability in part (d) using the binomial distribution. (Use f(x) to denote the binomial probability function.)

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Assume a binomial probability distribution has p = 0.80 and n = 400.

a) what is the mean and standard deviation

b) is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain.

c) what is the probability of 300 to 310 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

d) what is the probability of 330 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

e) what is the advantage of using the normal probability distribution to approximate the binomial probabilities?

f) how would you calculate the probability in part (d) using the binomial distribution. (Use f(x) to denote the binomial probability function.)

 
 
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