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Coursepack, p. 588 n= trials S= SUCCESS Math 133: 6.2 Worksheet #3 Name: F = failure Section #: X=$ of Success in (n ) trial

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Coursepack, p. 588 n= trials S= SUCCESS Math 133: 6.2 Worksheet #3 Name: F = failure Section #: X=$ of Success in (n ) trial pc P (S), 9= 1-P = P(F) = P(failure) 6.2: Binomial Distribution n,p 9=t's 1. Determine whether or not following probability experiments qualify as a binomial experiment. S , FIX = words For those that are binomial experiments, identify and/or explain n, S, F, X, p and q. For those that are NOT binomial experiments, explain why not. a) Meijer asks 450 random customers whether they "enjoyed their shopping experiences at Meijer?" Customers choose from three possible responses, "yes", "no", and "neutral". b) Each T-shirt is rated "first quality" or "irregular." Suppose a T-shirt factory has an "irregular" rate of 3%. A random sample of 100 T-shirts from that factory is selected. The random variable, X, represents the number of irregulars in the sample. 2. Determine the indicated probability for a binomial experiment with the given number of trials n and the given probability of success p. (Give 4 decimal places) a) n = 18, p = 0.85, P(12) b) n = 18, p = 0.85, P(at least 15) c) n = 18, p = 0.85, P(less than 10) d) n = 18, p = 0.85, P(11 s X s 16)

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