Question

Alysha makes 70% of her free throws. She takes four free throws in a game. If the shots are independent of each other, what is the probability that she makes exactly one of four shots? (Round your answer to three decimal places.)

Answer 1

Alysha makes 70% of her free throws.

hence population proportion of success is given by :-

also probability of failure is given by :-

and sample size is n=4.

we want to find the probability that she makes exactly one of four shots that is

probability mass function of binomial distribution is :-

                          

hence for probability of we calculate as follows:-

Hence the probability that she makes exactly one of four shots is 0.0756.