39 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. (1) Use the binomial formula to calculate the probability that exactly five customers make a purchase.

Question

Mathematics

Tinker

9 April, 18:44

39 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. (1) Use the binomial formula to calculate the probability that exactly five customers make a purchase.

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Camden Foley · Answer 1

Answer:the probability that exactly five customers make a purchase is 0.033

Step-by-step explanation:

The formula for binomial distribution is expressed as

P (x = r) = nCr * q^ (n - r) * p^r

Where

p = probability of success

q = probability of failure

n = number of sample

From the information given,

39 percent of all customers who enter a store will make a purchase. It means that the probability of success, p = 39/100 = 0.39

The probability of failure q, would be 1 - p = 1 - 0.39 = 0.61

n = 6

The probability that exactly five customers make a purchase is expressed as

P (x = 5) = 6C5 * 0.61^ (6 - 5) * 0.39^5

P (x = 5) = 6 * 0.61 * 0.39^5 = 0.033