(2) The joint p.d.f of the random variables X and Y is e-x-y, x>0, y > 0, { f(x, y)= 0, otherwise. (a) Find the marginal p.d.f.s of X and Y. (b) Find the mean of X, μx and the mean of Y, µy. (c) Find the variance of X, o and the variance of Y, oz. (d) Given Y = y, find the conditional p.d.f. of X, f(x|y). (e) Find E[X|y], for 0 < y. (f) Find o, for 0
(2) The joint p.d.f of the random variables X and Y is e-x-y, x>0, y > 0, { f(x, y)= 0, otherwise. (a) Find the marginal p.d.f.s of X and Y. (b) Find the mean of X, μx and the mean of Y, µy. (c) Find the variance of X, o and the variance of Y, oz. (d) Given Y = y, find the conditional p.d.f. of X, f(x|y). (e) Find E[X|y], for 0 < y. (f) Find o, for 0
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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please make sure to answer questions b,e,f
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