4.1-1. For each of the following functions, determine the constant c so that f(x, y) satisfies the conditions of being a joint pmf for two discrete random variables X and Y: (a) f(x, y) = c(x+2y). (b) f(x, y) = c(x+y). (c) f(x. y) = c. x= 1,2, y = 1,2,3. x = 1, 2, 3, y = 1,..... x and y are integers such that 6 ≤x+y≤8, 0≤ y ≤5. (@) f(x, y) = c()*(+). x=1,2,.... y=1,2,....

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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4.1-1. For each of the following functions, determine
the constant c so that f(x, y) satisfies the conditions
of being a joint pmf for two discrete random variables
X and Y:
(a) f(x, y) = c(x+2y).
(b) f(x, y) = c(x+y).
(c) f(x, y) = C,
x= 1,2, y = 1,2,3.
x = 1, 2, 3, y = 1,...,x.
x and y are integers such that
6 ≤x+y≤8, 0≤ y ≤5.
(d) f(x, y) = c()* (²) **
x=1,2,.... y = 1,2,....
Transcribed Image Text:4.1-1. For each of the following functions, determine the constant c so that f(x, y) satisfies the conditions of being a joint pmf for two discrete random variables X and Y: (a) f(x, y) = c(x+2y). (b) f(x, y) = c(x+y). (c) f(x, y) = C, x= 1,2, y = 1,2,3. x = 1, 2, 3, y = 1,...,x. x and y are integers such that 6 ≤x+y≤8, 0≤ y ≤5. (d) f(x, y) = c()* (²) ** x=1,2,.... y = 1,2,....
4.1-1 (a) 1/33; (b) 1/24; (c) 1/18; (d) 6.
Transcribed Image Text:4.1-1 (a) 1/33; (b) 1/24; (c) 1/18; (d) 6.
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