An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points eamed on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. p(x, y) o 10 15 0.03 0.06 0.02 0.10 0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 If the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score E(X + Y)? (Enter your answver to one decimal place.) If the maximum of the two scores is recorded. what is the expected recorded score? (Enter your answer to two decimal places.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in
the accompanying table.
P(x, y)
5
10
15
0.03 0.06 0.02 0.10
5
|0.04 0.13 0.20 0.10
10 0.01 0.15 0.15 0.01
If the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score E(X + Y)? (Enter your answer to one decimal place.)
If the maximum of the two scores is recorded, what is the expected recorded score? (Enter your answer to two decimal places.)
Transcribed Image Text:An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. P(x, y) 5 10 15 0.03 0.06 0.02 0.10 5 |0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 If the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score E(X + Y)? (Enter your answer to one decimal place.) If the maximum of the two scores is recorded, what is the expected recorded score? (Enter your answer to two decimal places.)
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