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In: Statistics and Probability

You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability...

You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given game is 0.45. In a tournament that consists of playing 60 games of rock-paper-scissors let X be the random variable that is the of number games won. Assume that the probability of winning a game is independent of the results of previous games. You should use the normal approximation to the binomial to calculate the following probabilities. Give your answers as decimals to 4 decimal places. a)Find the probability that you win at least 30 of the games. P(X ? 30) = b)Find the probability that you win less than 23 games. P(X < 23) = c)Find the probability that you win between 25 and 30 games. P(25 ? X ? 30) =

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orchestra answered 2 years ago
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