Question

Please help.

A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at most nine out of eleven free throws?

Answer 1

The number of throws that the player make X follows binomial distribution.

The probability that the player makes x throws out of eleven throws is

`P(X=x)=C(x,11)0.5^x(0.5)^(11-x)=C(x,11)0.5^(11)`

The probability that the player makes at most nine out of eleven free throws

is

`image`

Correct choice is (B).