Answers to selected problems of Chapter 6

Answers to selected problems of Chapter 6 - Solution for...

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1 Solution for selected problems Chapter 6 6.2 a) The probabilities for each possible outcome in the sample space are the same: 1/36. There is only one instance in which the maximum is one; thus, the probability is 1/36. There are three instances in which the maximum is two; thus, the probability is 3/36. Etc. For example, in the sample space below, all cases in which the maximum roll is four are in bold. There are seven such cases, and so the probability is 7/36. The sample space: {(1,1),(1,2),(1,3),( 1,4 ),(1,5)(1,6),(2,1),(2,2),(2,3),( 2,4 ),(2,5)(2,6),(3,1), (3,2),(3,3),( 3,4 ),(3,5)(3,6),( 4,1 ),( 4,2 ),( 4,3 ),( 4,4 ),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5)(5,6), (6,1),(6,2),(6,3),(6,4),(6,5)(6,6} b) These probabilities satisfy the two conditions for a probability distribution: 0 ≤ P( x ) ≤ 1; and Σ P(x)=1 6.4 a) Final grade Probability 4 0.20 3 0.40 2 0.30 1 0.10 b) = 1(0.10) + 2(0.30) + 3(0.40) + 4(0.20) = 2.70. The average final grade for the class is 2.7. 6.5

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This note was uploaded on 08/04/2011 for the course MATH 2300 taught by Professor Staff during the Spring '08 term at Texas Tech.

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Answers to selected problems of Chapter 6 - Solution for...

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