Posted by **Angel** on Friday, March 2, 2012 at 9:15am.

Suppose a basketball player, Player A, made 80% of her free throw attempts last season and that she continues to shoot free throws at the same rate. Assume that free throw attempts are independent. Let the random variable X be the number of free throws that player A makes in her next 15 attempts.

a) What is the distribution of X?

b) Find the mean and standard deviation of X.

c) Find the probability that player A makes exactly 10 free throws.

d) Find the probability that player A makes at least 8 free throws.

- Statistics -
**MathGuru**, Friday, March 2, 2012 at 4:26pm
a) Binomial distribution

b) mean = np = 15 * .80 = ?

sd = √npq = √(15)(.80)(.20) = ?

Note: q = 1 - p

I'll let you finish the calculation.

c) Use a binomial probability table. n = 15, p = .80, x = 10

d) You can approximate a normal distribution by using z-scores.

Formula:

z = (x - mean)/sd

x = 8, mean & sd calculated from b) above.

Use a z-table to determine the probability using the z-score.

I hope this will help get you started.

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