southerntouch103
22.05.2021 •
Mathematics
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).
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Ответ:
5x-8) 45x^2-42x-48
= 9x+6