Question

Courtney makes 66% of the free throws she attempts. She often stays after practice to shoot sets of 9 free throws. Assume that the results of free throws are independent from each other. What are the mean number of free throws she makes in each set?

Answer 1

Answer: The probability of making a free throw is 0.66, and the probability of missing a free throw is 1 - 0.66 = 0.34.

The number of free throws Courtney makes in each set follows a binomial distribution with n = 9 (the number of trials) and p = 0.66 (the probability of success).

The mean or expected value of a binomial distribution is given by:

mean = n * p

Therefore, the mean number of free throws Courtney makes in each set is:

mean = 9 * 0.66 = 5.94

So we can expect that she will make about 5 or 6 free throws in each set on average.

Explanation: