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Question 14 Review Use the appropriate moimi distribut on to approximate the wee

ID: 3148040 • Letter: Q

Question

Question 14 Review Use the appropriate moimi distribut on to approximate the week, buy coffee during their visit. A random sample of 35 customers is made. If the store own during their visit on that certain day of the week? resu ting binomial distributions. A convenience store owner claims that 53% of the people buying from her store, on a certa n day oft ner's claim is correct, what is the probability that fewer than 20 customers in the sample buy coffee a) 0.6293 b) 0.5987 c) 0.4681 d) 0.5319 e) 0.5675 None of the above ater Type here to search

Explanation / Answer

Given p = 0.55 n = 35.

= n * p = 35 * 0.55 = 19.25

= (np(1-p)) = (19.25 * 0.45) = 2.9432

P(X < 20) = P(Z < ((19.5 - 19.25) / 2.9432))

= P(Z < 0.08)

= 0.5319.

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