Question: 75 Suppose x is a binomial random variable with p = .4 and n = 25. a. Would it be appropriate to approximate the probability

75 Suppose x is a binomial random variable with p = .4 and n = 25.

a. Would it be appropriate to approximate the probability distribution of x with a normal distribution?

Explain.

b. Assuming that a normal distribution provides an adequate approximation to the distribution of x , what are the mean and variance of the approximating normal distribution?

c. Use Table II of Appendix: Tables to find the exact value of P(x Ú 9).

d. Use the normal approximation to find P(x Ú 9).

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