Help me with this transformation. thankyou
Help me with this transformation. thankyou discrete Let X,Y be vanden variables; X, Y ^ Uglemm,...
pleaze help me fast 2. Let X and Y be discrete random variables with joint probability mass function X=1 X=5 Y=1 5a За Y=5 4a 8а a. What is the value of a? b. What is the joint probability distribution function (PDF) of X and Y? c. What is the marginal probability mass function of X? d. What is the expectation of X? e. What is the conditional probability mass function of X given Y = 1? f. Are X...
please help me! 3. Suppose X, Y are discrete random variables taking values in-1,0, 1) and their joint probability mass function is 0 0 X=1 where a, b are two positive real numbers (i) Find the values of a and b such that X and Y are uncorrelated (ii) Show that X and Y cannot be independent. 0
Please help me with this problem, thankyou. Let XY be independet randoon variables, such tha↓ Yv Unihan X ~ Unif(o,i] ntco,) and uv) where !·ズ ean
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
2. Let X and Y be jointly Gaussian random variables. Let ElX] = 0, E[Y] = 0, ElX2-4. Ey2- 4, and PXY = [5] (a) Define W2x +3. Find the probability density function fw ( of W. [101 (b) Define Z 2X - 3Y. Find P(Z > 3) 5] (c) Find E[WZ], where W and Z are defined in parts (a) and (b), respectively.
4·Let X and Y be two discrete random variables with joint density function given by Compute the probability of the following events ess than2 (b) X is even. (c) XY is even. (d) Y is odd, given that X is odd.
Let X and Y be discrete random variables with the joint probability function f(x,y) given by the table: х f(x,y) 7 9 11 20.050.15 0.1 Y 30.15 0.40.15 Which of the following is the conditional probability function fxy (x|3) ? X = x 7 9 11 fxry(x3)0.28|0.37.42 X = X 7 9 11 fxıy(x3)0.30.280.42 X = x 9 7 11 fxıy(x|3)|0.2143|0.2143|0.5714 X = X 7 11 fxxy(xl3)|0.21430.57140.2143 ОО None of the above
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...
2. Let X and Y be two independent discrete random variables with the probability mass functions PX- = i) = (e-1)e-i and P(Y = j-11' for i,j = 1, 2, Let {Uni2 1} of i.i.d. uniform random variables on [0, 1]. Assume the sequence {U i independent of X and Y. Define M-max(UhUn Ud. Find the distribution
please help me with question 7 Detween twO strips: Let X~Gamma(a, A), where a, A > 0. Find E(X), and Var(X) 7 Let X, Y, Z be discrete random variables, a, b E R. Assuming all the 8