d, e, f x² +f(x, y) =+ 2,0 < x < 1,0 < y < 2,elsewhere.30,b.g(x) = 2x (x + 1/3), h(y)= 1/3 + y/6.a. Determine the expected value of X.Determine the expected value of Y.c. Determine the expected value of Z = X + Y.d. Determine the expected value of (XY).e. Determine the expected value of X².f. Determine the expected value of Y².

Answered: √x² +²23,0 < x < 1,0 < y < 2, f(x, y) =…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 20E

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Similar questions

Stast 2.
A random variable Y has a uniform distribution over the interval (?1, ?2). Derive the variance of Y. Find E(Y)2 in terms of (?1, ?2). E(Y)2 = Find E(Y2) in terms of (?1, ?2). E(Y2) = Find V(Y) in terms of (?1, ?2). V(Y) =
Find: (a) a. X = 0 1 p(y) Y = 0 1 2 .10 .25 .25 .05 a .25 p(x) (b) The marginal probabilities for X and Y. (c) P(Y= 1/X = = 1).
Two investments X and Y give these returns: E(X) = 0.6 E(Y) = 0.5V(X) = 1 V(Y) = 2 the correlation between X and Y is p(X,Y) = 0.5 Find the expectation and variance for the combined investments: U = X + Y, W = 2Y and then find the the correlation between U and W
V:59)
Mm6
Estimate method
Find: a. E(XY) b. Covariance (XY)
Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playing

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