Question

Let the joint pmf of X and Y be $f(x, y) = frac{xy}{9}$, $x = 1, 2$, $y = 1, 2$ ewline Are X and Y independent? ewline Why or why not?

          Let the joint pmf of X and Y be $f(x, y) = frac{xy}{9}$, $x = 1, 2$, $y = 1, 2$ 
ewline Are X and Y independent? 
ewline Why or why not?

$Let the joint pmf of X and Y be f(x, y) = fracxy9, x = 1, 2, y = 1, 2 ewline Are X and Y independent? ewline Why or why not?$

Added by Amanda W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/20/2022

Step 1

Given: f(1,1) = 1/9 f(1,2) = 2/9 f(2,1) = 2/9 f(2,2) = 4/9 Calculate: P(X=1) = f(1,1) + f(1,2) = 1/9 + 2/9 = 3/9 = 1/3 P(X=2) = f(2,1) + f(2,2) = 2/9 + 4/9 = 6/9 = 2/3 P(Y=1) = f(1,1) + f(2,1) = 1/9 + 2/9 = 3/9 = 1/3 P(Y=2) = f(1,2) + f(2,2) = 2/9 + 4/9 = 6/9 = Show more…

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