a customer will order a nonalcoholic beverage is .47. a. Find the probability that in a sample of 11 customers, none of the 11 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability b. Find the probability that in a sample of 11 customers, at least 4 will order a nonalcoholic beverage. (Round your answer to 4 decima places.) Probability c. Find the probability that in a sample of 11 customers, fewer than 5 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability d. Find the probability that in a sample of 11 customers, all 11 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability
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i need help from answer A through D
we are given that probability of a customer ordering a nonalcoholic beverage = p = 0.47
ordering drinks can be said to follow a binomial distribution
n = 11
Solution,
a) probability that in a sample of 11,none of the 11 will order a nonalcoholic beverage
P(x=0)= 11C0 * 0.470 * 0.5311 = 0.000926
b)probability that in a sample of 11,atleast 4 will order a nonalcoholic beverage
P(x>4) = 1-P(x=0)-P(x=1)-P(x=2)-P(x=3)-P(x=4)
= 1 - 11C0 * 0.470 * 0.5311 - 11C1 * 0.471 * 0.5310 - 11C2 * 0.472 * 0.539 - 11C3 * 0.473 * 0.538 - 11C4 * 0.474 * 0.537
=1 - 0.000926 - 0.0090-0.04-0.106-0.1891
=0.6949
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