35 percent of all customers who enter a store will make a purchase. Suppose that

Question

35 percent of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these customers make independent purchase decisions.

Use the binomial formula to calculate the probability that exactly five customers make a purchase. (Round your answer to 4 decimal places.)

Use the binomial formula to calculate the probability that at least three customers make a purchase. (Round your answer to 4 decimal places.)

Use the binomial formula to calculate the probability that two or fewer customers make a purchase. (Round your answer to 4 decimal places.)

Use the binomial formula to calculate the probability that at least one customer makes a purchase. (Round your answer to 4 decimal places.)

35 percent of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these customers make independent purchase decisions.

Explanation / Answer

p = 0.35, q = 1 - p = 0.65, n = 6

(1) P(x) = nCx p^x q^(n - x)

P(5) = 6C5 0.35^5 0.65^(6 - 5) = 0.0205

(2) P(x 3) = P(3) + P(4) + P(5) + P(6) = 0.2355 + 0.0951 + 0.0205 + 0.0018 = 0.3529

(3) P(x 2) = P(0) + P(1) + P(2) = 0.0754 + 0.2437 + 0.3280 = 0.6471

(4) P(x 1) = 1 - P(0) = 1 - 0.0754 = 0.9246.

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