The value of the constant k that the function is given by f(x, y) = {kxy for x = 1,2,3 y = 1,2,3 otherwise is a joint p. d. f. of some random variables X and Y is

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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q1/
The value of the constant k that the function is given by
f(x, y) = {kxy for x = 1,2,3 y = 1,2,3
otherwise
is a joint p. d. f. of some random variables X and Y is
q2/
Let the joint probability density function of the continuous random variables X
and Y be
- (x² + 2xy) if 0 < x< 1; 0 < y <1
f(x,y) =
elsewhere
The probability of the event (X <Y) is
Transcribed Image Text:done q1/ The value of the constant k that the function is given by f(x, y) = {kxy for x = 1,2,3 y = 1,2,3 otherwise is a joint p. d. f. of some random variables X and Y is q2/ Let the joint probability density function of the continuous random variables X and Y be - (x² + 2xy) if 0 < x< 1; 0 < y <1 f(x,y) = elsewhere The probability of the event (X <Y) is
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