Question

The probability of a basketball player making a free throw is 76%. In practice she shoots 10 free throws. What is the probability that he makes 7 free throws?

Answer 1

0.243

Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243

Answer 2

Probability is 0.243

Explanation:

Probability of success p = 76% = 76/100 = 0.76

Probability of failure q = 1 - p = 1-0.76 = 0.24

We can now proceed to use Bernoulli approximation of the Binomial theorem

We have

P( X = 7) = 10 C 7 p^7 q^3

P(X = 7) = 120 * 0.1465 * 0.013824

P(X = 7) = 0.242946203712

This is approximately 0.243