# Answer to Question #46250 in Statistics and Probability for Divyashree Bhat

Question #46250

The joint probability function of two discrete random variables X and Y is given by

f(x

,y) = c(2x+y)

, where

x

and

y

can assume all integral values such that

0

≤

x

≤

2,

0

≤

y

≤

3

, and

f(x, y) = 0

otherwise. Find the value of th

e constant

c

,

(ii) P(x=2,

y=1), (iii) P(x≥1, y≤2)

, (iv) Marginal probability functions of X and Y. Check

whether X and Y are independent

f(x

,y) = c(2x+y)

, where

x

and

y

can assume all integral values such that

0

≤

x

≤

2,

0

≤

y

≤

3

, and

f(x, y) = 0

otherwise. Find the value of th

e constant

c

,

(ii) P(x=2,

y=1), (iii) P(x≥1, y≤2)

, (iv) Marginal probability functions of X and Y. Check

whether X and Y are independent

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