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

Question

36 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. (Round your answer to 4 decimal places.) Probability (2) Use the binomial formula to calculate the probability that at least three customers make a purchase. (Round your answer to 4 decimal places.) Probability (3) Use the binomial formula to calculate the probability that two or fewer customers make a purchase. (Round your answer to 4 decimal places.) Probability (4) Use the binomial formula to calculate the probability that at least one customer makes a purchase. (Round your answer to 4 decimal places.) Probability

Explanation / Answer

Solution:-

p = 0.36, n = 6

1) The probability that exactly five customers make a purchase is 0.02322.

x = 5

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x = 5) = 0.02322

2) The probability that at least three customers make a purchase is 0.3732.

x > 3

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x > 3) = 0.3732.

3) The probability that two or fewer customers make a purchase is 0.6268.

x = 2

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x < 2) = 0.6268.

4) The probability that at least one customer makes a purchase is 0.9313.

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x > 1) = 0.9313

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