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SecondTest_213_Oct02_to handout_Mar05

SecondTest_213_Oct02_to handout_Mar05 - IENG 213 Prob and...

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Unformatted text preview: IENG 213: Prob and Stat 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 probability of dropping out for: 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) 2002-2005 Steven Guffey, PhD page 1 3/30/2005 IENG 213: Prob and Stat Exam Name: ____________________ 8 2 You and 11 friends went to the same party. Later 14 people from the party 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?...
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