Question

A department store has determined that the probability of a customer making a purchase is approximately 0.6. Suppose 25 customers are randomly selected. Calculate the following probability. Round to 3 decimal places.

Answer 1

To calculate the probability of getting exactly 150 customers in one day out of 25 randomly selected customers with a purchase probability of 0.6, we can use the binomial probability formula. The probability of this event happening is approximately 0.000.

Step-by-step explanation:

Given that the probability of a customer making a purchase is approximately 0.6, we can use a binomial distribution to calculate the probability of a certain number of customers making a purchase out of the 25 randomly selected customers.

To calculate the probability of getting exactly 150 customers in one day, we can use the binomial probability formula:

P(x = k) = (n choose k) * p^k * (1-p)^(n-k)

Substituting in n = 25, k = 150, and p = 0.6, we can calculate:

P(x = 150) = (25 choose 150) * 0.6^150 * (1-0.6)^(25-150)

Rounding to 3 decimal places, the probability of getting 150 customers in one day is approximately 0.000.