Question

In a particular retail clothing store, approximately 25% of potential customers who walk into the store make a purchase.

In a random sample of 20 customers that walked into the store,
what is the probability that exactly 10 of the customers make purchases? Round to 4 significant digits.

Answer 1

To find the probability of exactly 10 out of 20 customers making purchases in a retail clothing store where approximately 25% of potential customers make a purchase, we can use the binomial probability formula. The probability is approximately 0.1176.

Step-by-step explanation:

To find the probability that exactly 10 out of 20 customers make purchases, we can use the binomial probability formula. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success. In this case, n=20, k=10, and p=0.25. Plugging these values into the formula, we get P(X=10) = (20 choose 10) * 0.25^10 * (1-0.25)^(20-10).

Using a calculator or software, we can evaluate this expression to find the probability. Rounding to four significant digits, the probability is approximately 0.1176.