A high school baseball player has a 0.274 batting average. In one game, he gets 7 at bats.
What is the probability he will get at least 5 hits in the game?
Calculate the probability of 5, 6, and 7 hits.
5 hits
(0.274)^5 * (1-0.274)^2 * 7 choose 5 = 0.017094
6 hits
(0.274)^6 * (1-0.274)^1 * 7 choose 6 = 0.002150
7 hits
(0.274)^7 = 0.000116, so adding up the probabilities gets us 2.036% as the probability.
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