Q. Suppose, in an exam there are two parts in the question paper that are part A and part B. Let us assume that, X and Y represent the marks obtained in part A and part B respectively. The joint distribution of X and Y are given below: Y p(x,y) Y = 0 Y = 5 Y = 10 Y = 15 X = 0 0.02 0.06 0.02 0.10 X = 5 0.04 0.15 0.20 0.10 X = 10 0.01 0.15 0.14 0.01 a. If the total marks are obtained by adding the marks obtained in the two individual parts of the question paper then find the expected marks, E [X,Y]| obtained by a randomly selected student. b. If the maximum marks of the two parts are recorded then what is the expected recorded marks?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q. Suppose, in an exam there are two parts in the question paper that are part A and part B. Let us assume that, X and Y represent the marks obtained in
part A and part B respectively. The joint distribution of X and Y are given below:
Y
p(x.y)
Y = 0
Y = 5
Y = 10
Y = 15
X = 0
0.02
0.06
0.02
0.10
X = 5
0.04
0.15
0.20
0.10
X = 10
0.01
0.15
0.14
0.01
a. If the total marks are obtained by adding the marks obtained in the two individual parts of the question paper then find the expected marks, E[X,Y]
obtained by a randomly selected student.
b. If the maximum marks of the two parts are recorded then what is the expected recorded marks?
Write your answer in the script, convert
into pdf and then submit the pdf on the provided link at the end. (Not here)
Transcribed Image Text:Q. Suppose, in an exam there are two parts in the question paper that are part A and part B. Let us assume that, X and Y represent the marks obtained in part A and part B respectively. The joint distribution of X and Y are given below: Y p(x.y) Y = 0 Y = 5 Y = 10 Y = 15 X = 0 0.02 0.06 0.02 0.10 X = 5 0.04 0.15 0.20 0.10 X = 10 0.01 0.15 0.14 0.01 a. If the total marks are obtained by adding the marks obtained in the two individual parts of the question paper then find the expected marks, E[X,Y] obtained by a randomly selected student. b. If the maximum marks of the two parts are recorded then what is the expected recorded marks? Write your answer in the script, convert into pdf and then submit the pdf on the provided link at the end. (Not here)
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