1a) Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample. n = 100, p = 0.32: P(X < 34) b) A mail-order company has a 9% success rate. If it mails advertisements to 500 people, find the probability of getting fewer than 38 sales. c) Find the critical value zα/2 needed to construct a(n) 99.2% confidence interval. Please answer all parts of the question 1a to 1c. Thanks.

A First Course in Probability (10th Edition)
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1a) Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 100, p = 0.32: P(X < 34)

b) A mail-order company has a 9% success rate. If it mails advertisements to 500 people, find the probability of getting fewer than 38 sales.

c) Find the critical value zα/2 needed to construct a(n) 99.2% confidence interval.

Please answer all parts of the question 1a to 1c. Thanks.

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