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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, v) |o o 0.03 0.06 0.02 0.10 S 10 15 * S0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 (a) 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 + n? (Enter your answer to one decimal place.) (b) If the maximum of the two scores is recorded, what is the expected recorded score? (Enter your answer to two decimal places.)

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, v) |o o 0.03 0.06 0.02 0.10 S 10 15 * S0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 (a) 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 + n? (Enter your answer to one decimal place.) (b) If the maximum of the two scores is recorded, what is the expected recorded score? (Enter your answer to two decimal places.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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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) 0 10 15 0 0.03 0.06 0.02 0.10 x s 0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 (a) 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.) (b) 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) 0 10 15 0 0.03 0.06 0.02 0.10 x s 0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 (a) 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.) (b) 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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