9 percent of a mail-order firm\'s repeat charge-account customers have an incorr

Question

9 percent of a mail-order firm's repeat charge-account customers have an incorrect current address in the firm's computer database. The number of customers out of 16 who have an incorrect address in the database is a binomial random variable with n = 16 and 0.09. (a) What is the probability that none of the next 16 repeat customers who call will have an incorrect address? (Round your answer to 4 decimal places.) Probability (b) What is the probability that five customers who call will have an incorrect address? (Round your Probability (c) What is the probability that six customers who call will have an incorrect address? (Round your answer to 4 decimal places.) Probability (d) What is the probability that fewer than seven customers who call will have an incorrect address? Round your answer to 4 decimal places.) Probability

Explanation / Answer

n = 16

p = 0.09

a) P(X = 0) = 16C0 * 0.090 * 0.9116 = 0.2211

b) P(X = 5) = 16C5 * 0.095 * 0.9111 = 0.0091

c) P(X = 6) = 16C6 * 0.096 * 0.9110 = 0.0017

d) P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

                  = 16C0 * 0.090 * 0.9116 + 16C1 * 0.091 * 0.9115 + 16C2 * 0.092 * 0.9114 + 16C3 * 0.093 * 0.9113 + 16C4 * 0.094 * 0.9112 + 16C5 * 0.095 * 0.9111 + 16C6 * 0.096 * 0.9110

                   = 0.9997

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