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Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.P(x)=[n!x!(n−x)!]pxqn−x(1 point)Responses12.4%12.4%24.7%24.7%32.1%32.1%62.3%

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Answered by GPT-5 mini AI
n = 6, x = 4, p = 0.623, q = 1 − p = 0.377.

P(X = 4) = C(6,4) p^4 q^2 = 15 × (0.623)^4 × (0.377)^2 ≈ 0.321 ≈ 32.1%.