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Unformatted text preview: 40% are women. In a random sample of 50 students, what is the probability that more than half of the students are women? Let X = number of women in the sample. X is binomial with n = 50 and p = 0.4 np = 50*0.4 = 20 n(1p) = 50*.06 = 30 These are both greater than 5 so we can use approximation. μ = σ = We need to find P(X > 25). 9 10 Example 2: A baseball team has a .75 chance of winning a game. What is the probability that they will win no more than 65 out of 100 games? X = number of wins np = 100*.75 = 75 n(1p)=100*.25=25 Approximation can be used. μ = np = σ = √npq = √(100*.75*.25) = 4.3301 11 12 What is the probability that they will win only 65 games?...
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 Fall '07
 MELutz
 Statistics, Binomial, Poisson Distribution, Probability theory, Binomial distribution, Binomial Probabilities

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