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Unformatted text preview: Y follows a binomial distribution with n = 100 and p = 0 . 12, and E ( Y ) = np = 100 × . 12 , V ( Y ) = np (1p ) = 100 × . 12 × (1. 12) . Thus, based on the Central Limit Theorem, we have P ( Y ≥ 15) = P ( Y > 14 . 5) ≈ P ( Z > 14 . 5100 × . 12 q 100 × . 12 × (1. 12) ) = P ( Z > . 77) = 0 . 22 . Problem 5. (a) No. This is an observational study. Perhaps Anesthetic C is used for some more diﬃcult surgeries. (b) No mention is made of randomization of anesthetic for each patient. For an experiment, each patient would be equally likely to receive one of A, B, C, or D. (c) No. Some patients may be sensitive to some kinds of anesthetic. 2...
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 Spring '08
 KARIM
 Central Limit Theorem, Harshad number, randomly selected student

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