A high school baseball player has a 0.224 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 5 hits in the game?
+128406 This is a binomial probability
The probability of at least 5 hits =
P(5 hits) = C (7,5)(.224)^5 (1-.224)^2
P(6 hits) = C (6,5) (.224)^6 ( 1 - .224)
P(7 hits ) = (.224)^7
Adding these we have
C (7,5)(.224)^5*(1-.224)^2 + C (6,5) (.224)^6 *( 1 - .224) + (.224)^7 ≈ .0077 ≈ 0.77 %
