NormalApproxQuiz

# NormalApproxQuiz - Using the normal approximation to the...

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Question 1 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[X < 339]? Pr[X < 339] Pr[X < 339.5] Pr[X < 338.5] Question 2 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[X at most 291]? Pr[X < 291.5] Pr[X < 291] Pr[X < 290.5] Question 3 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[X >154]? Pr[X > 154] Pr[X > 154.5] Pr[X > 153.5] Question 4 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[153 < X < 301]? Pr[153.5 < X < 300.5] Pr[ 153 < X < 301] Pr[152.5 < X < 301.5] Pr[152.5 < X < 300.5]

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Question 5 10 points Let X be a binomial random variable, where n = 50 and p = .25 (mu = 12.5 and sigma = 3.062). Using the normal approximation to the binomial, what is the probability that X is at most 12? .4873 .5000 .3707 .7654 Question 6 10 points Let X be a binomial random variable, where n = 50 and p = .25 (mu = 12.5 and sigma = 3.062).
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Unformatted text preview: Using the normal approximation to the binomial, what is Pr[X < 23]? .0005 .9995 .9997 Question 7 10 points Let X be a binomial random variable, where n = 50 and p = .25 (mu = 12.5 and sigma = 3.062). Using the normal approximation to the binomial, what is the Pr[12 < X < 23]? .4997 .5633 .4995 Question 8 10 points Virginia Tech has beaten UVA 52.2% of the time in football. If we wanted to know the probability that VT wins at most 12 out of the next 15 games, would the normal approximation to the binomial be appropriate here? No, because 15 isn't enough games for the estimation to work. There's not enough information to tell. Yes, because we have met the criteria for the central limit theorem. Question 9 10 points X~bin(344, .82) Using the normal approximation, what is Pr[X at least 276]? .8212 .8023 .7823 .1788 Question 10 10 points X~bin(344, .82) Using the normal approximation, what is Pr[X < 270]? .0384 .0446 .0516 .4013...
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## This note was uploaded on 03/31/2008 for the course STAT 2004 taught by Professor Melutz during the Fall '07 term at Virginia Tech.

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NormalApproxQuiz - Using the normal approximation to the...

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