A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she throws 3 shots. Let X = the number of shots that he makes. What is the probability that she makes 1 shot?

a. 0.227
b. 0.435
c. 0.278
d. 0.059

Option B) 0.435

Step-by-step explanation:

We are given the following information:

We treat player makes a shot as a success.

P(player makes a shot) = 39% = 0.39

Then the number of shots follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3

We have to evaluate:

0.435 is the probability that she makes 1 shot.

Option B) 0.435

-6 is the correct option from the above given options