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Suppose that X and Y are independent and X ~ Bernoulli(1/4) and Y ~ Bernoulli(1/2). Find...

Suppose that X and Y are independent and X ~ Bernoulli(1/4) and Y ~ Bernoulli(1/2).

Find the point probability table.

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Answer #1

Suppose that X and Y are independent and X ~ Bernoulli(1/4) and Y ~ Bernoulli(1/2).

Probability of success = 1/4 for X and Probability of success = 1/2 for Y

Probability of failure = 3/4 for X, and Probability of failure = 1/2 for Y

For independent event, P(X = x and Y = y) = P(X = x) P(Y = y)

the point probability table.

X / Y 0 1 P(X)
0 3/8 3/8 3/4
1 1/8 1/8 1/4
P(Y) 1/2 1/2 1

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