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 A to find the exact value of P(x≥ 9).
d. Use the normal approximation to find P(x≥ 92.)
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