EBK FIRST COURSE IN PROBABILITY, A
EBK FIRST COURSE IN PROBABILITY, A
10th Edition
ISBN: 9780134753676
Author: Ross
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 10, Problem 10.9P

Suppose we have a method for simulating random variables from the distributions F1 and F2. Explain how to simulate from the distribution F ( x ) = p F 1 ( x ) + ( 1 p ) F 2 ( x ) 0 < p < 1

Give a method for simulating from F ( x ) = { 1 3 ( 1 e 3 x ) + 2 3 x 0 < x 1 4 1 3 ( 1 e 3 x ) + 2 3 x > 1

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The same final exam of the astronomy course was given to two groups of students. The maximum number of points that a student can score is 100. The first group consisted of a random sample of 10 students who were taught by Professor A. Students from the first group obtained the following results:   87 88 91 88 86 92 81 93 73 99   The second group consisted of a random sample of 9 students who were taught by Professor B. Students from the second group obtained the following results:   74 74 79 97 67 88 86 83 78 ​ Compute the mean squares of between-group variability, MSBET. Round your answer to two decimal places.
1. Consider the following preference ballots: Number of voters Rankings 6 5 4 2 1st choice A DCB DC 2nd choice B B D 3rd choice DCBD 4th choice CA AAA For each of the four voting systems we have studied, determine who would win the election in each case. (Remember: For plurality with runoff, all but the top two vote-getters are simultaneously eliminated at the end of round 1.)
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