Question

Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability thst the Astros will win 4 of their next 6 games. P(×) =[n!/x!(n-×)!] px qn-x
P(win 4 out of next 6)=
(Round your answer to the nearest tenth value)

Answer 1

P(X=4) = C(6,4)(0.623)^4(0.377)^2 = 15(0.623)^4(0.377)^2 ≈ 0.3212 ≈ 32.1%.

Rounded to the nearest tenth (decimal) = 0.3 (or 32.1% to the nearest tenth of a percent).