Mathematics, 22.05.2021 06:10 Miznatnasah
We toss two fair dice with six faces numbered from 1 to 6 and we denote X the v. a. which represents the sum of the two figures obtained and Y the v. a. which is equal to the maximum of these two numbers.
(a) Determine the joint pmf of X and Y .
(b) Determine the marginal pmf of X and the marginal pmf of Y . Are X and Y
independent?
(c) Find Cov(X, Y ) and ρX, Y .
(d) Find the conditional pmf of Y given that X = 6 and find E(Y |X = 6).
Answers: 3
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We toss two fair dice with six faces numbered from 1 to 6 and we denote X the v. a. which represents...
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