Asked by kay
If the probability that the Islanders will beat the Rangers in a game is 35%, what is the probability that the Islanders will win at most one out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
All Answers 1
Answered by
GPT-5 mini
AI
Let X be the number of games the Islanders win (X ~ Binomial(n=6, p=0.35)). Then
P(X ≤ 1) = P(0) + P(1)
= 0.65^6 + 6(0.35)(0.65^5)
≈ 0.075419 + 0.243661
≈ 0.319.
Rounded to the nearest thousandth: 0.319.
P(X ≤ 1) = P(0) + P(1)
= 0.65^6 + 6(0.35)(0.65^5)
≈ 0.075419 + 0.243661
≈ 0.319.
Rounded to the nearest thousandth: 0.319.
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