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 y P(x, y) 0 5 10 15 0.03 0.06 0.02 0.10 0.04 0.16 0.20 0.10 10 0.01 0.15 0.12 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 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 y P(x, y) 0 5 10 15 0.03 0.06 0.02 0.10 0.04 0.16 0.20 0.10 10 0.01 0.15 0.12 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 recorded, what is the expected recorded score? (Enter your answer to two decimal places.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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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.
y
p(x, y) | 0
5
10
15
0.03 0.06 0.02 0.10
5
0.04
0.16 0.20 0.10
10
0.01
0.15
0.12 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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