SOLUTION: A basketball player shooting 49% from the line attempts 11 free throws in a game. What is the probability of the player making exactly 8 free throw attempts?

Algebra ->  Probability-and-statistics -> SOLUTION: A basketball player shooting 49% from the line attempts 11 free throws in a game. What is the probability of the player making exactly 8 free throw attempts?      Log On


   



Question 1061335: A basketball player shooting 49% from the line attempts 11 free throws in a game. What is the probability of the player making exactly 8 free throw attempts?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we use the binomial probability formula
:
probability(p) = 0.49, (1-p) = (1-0.49) = q = 0.51, n = 11, r = 8
:
P ( 8 successes ) = 11C8 * (0.49)^8 * (0.51)^(11-8)
:
note that 11C8 = 11! / ( 8! * (11-8)!
:
P ( 8 successes ) = 165 * 0.0033 * 0.1327 = 0.0723 approximately 0.07 or 7%
: