SecondExam_Practice_IENG 213

SecondExam_Practice_IENG 213 - IENG 213: Prob and...

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IENG 213: Prob and Statistics Practice Exam Name: ____________________ 96 Practice Second Exam for IENG 213 originally 30 Oct 02 Covers Chapters 5, 6, 8 Pts No. Problem statement 1 Of 80 students entering engineering, 20 dropped out the first year. Of the next 15 entering students, find the probability (assuming independence): 5 a) Fewer than 3 drop out binomial p= 0.3 0.4 n = 15 p= 0.25 0.12683 0.027114 x = 2 interpolation= 0.0969177 P(x< 3 | p = 0.25 ) = 0.2361 5 b) More than 7 drop out P(x> 7 | p = 0.25 ) = 1 - 0.983 = 0.017 3 c) How many of the 15 entering students would you expect to drop out based on past experience? [The answer could be a non-integer]. μ = n p = 15 * 0.25 = 3.75 3 d) What is the standard deviation of the mean number expected in part c above? σ 2 = npq = 15 * 0.25 * 0.75 = 2.8125 (c) 2002-2006 Steven Guffey, PhD page 1 / 7 11/10/2006
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IENG 213: Prob and Statistics Practice Exam Name: ____________________ 8 2 You and 11 friends went to the same party. Later 15 people from the party (not counting you gathered outside on the lawn. What is probability that 6 of those on the lawn were your friends if there were 25 people at the party other than you? Set up the problem and substitute values for variables without doing the final computations.
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SecondExam_Practice_IENG 213 - IENG 213: Prob and...

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