Let f(x, y) = be the joint probability mass function with x, y = 1,2,3. i. Find the value of k. ii. Construct the joint probability distribution table. iii. Construct the marginal distribution of x. Construct the marginal distribution of y. Is f(2,3) = fx(2) × fy(3) ? iv. v. vi. Based on answer in (v), do we have enough evidence to conclude that x and y are independent?

A First Course in Probability (10th Edition)
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kxy
Let f(x, y) = " be the joint probability mass function with x, y = 1,2,3.
i.
Find the value of k.
ii.
Construct the joint probability distribution table.
iii.
Construct the marginal distribution of x.
iv.
Construct the marginal distribution of y.
Is f(2,3) = f;(2) × fy(3) ?
v.
vi.
Based on answer in (v), do we have enough evidence to conclude
that x and y are independent?
Transcribed Image Text:kxy Let f(x, y) = " be the joint probability mass function with x, y = 1,2,3. i. Find the value of k. ii. Construct the joint probability distribution table. iii. Construct the marginal distribution of x. iv. Construct the marginal distribution of y. Is f(2,3) = f;(2) × fy(3) ? v. vi. Based on answer in (v), do we have enough evidence to conclude that x and y are independent?
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