MidTermTest1VersionBSolution

MidTermTest1VersionBSolution - CHEN3010 Version B Applied...

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CHEN3010 Applied Data Analysis Fall 2004 Version B Mid Term Test 1 Name:____________________ Answer each question on its own sheet and use the reverse side if necessary. Staple all seven questions together, in the right order, if you separate the question sheets. Open Book, Notes, and Workshops. Calculators allowed, but you can not borrow one. 75 minutes, 75 points, 7 problems, 3 different versions Problem 1 (10 points). In a class of 20 females and 30 males, what is the probability of a randomly assigned group of 4 students having no females? Solution: Total class size N: 20 females + 30 males = 50 students Total females in the class r = 20 Randomly assigned group or sample size n = 4 Random Variable x: number of females in the group of 4 = [0,1,2,3,4] … Discrete! Hypergeometric distribution is more accurate, but can be approximated with binomial distribution as n N < 01 . ! P[X=0] = r x Nr nx N n = = = 20 0 30 4 50 4 1 27405 230300 0 11899 .
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CHEN3010 Applied Data Analysis Fall 2004 Version B Mid Term Test 1 Name:____________________ Problem 2 (10 points) The lifetime of a commercial product is normally distributed with a mean of 70 months and standard deviation of 10 months. A new and improved version of this product has a lifetime also normally distributed with a mean of 75 months and standard deviation of 5 months.
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MidTermTest1VersionBSolution - CHEN3010 Version B Applied...

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