Q: Asking for assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks.
**Please give the step by steps with details to completely see how the solution came about.
1) Let the joint pmf of X and Y be defined by: f(x,y) = (x+y)/(33), x=1,2, y=1,2,3.
(a) Find fx(x), the marginal pmf of X.
(b) Find fy(y), the marginal pmf of Y.
(c) Find P(X > Y).
(d) Find P(Y = 2X).
(e) Find P(X + Y = 3).
(f) Find P(X 3-Y).
(g) Find X and Y independent or dependent? Why or why not?
(h) Find the means and variances of X and Y.
Q: Asking for assistance in understanding and solving this example on Probability and Statistical with the...
Q: Asking for assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) The joint pmf of X and Y is given by: f(x,y) = c(x+1)(4-x)(y+1)(3-y), x=0,1,2,3 y=0,1,2 with y x. (a) Find the value of c. (b) Sketch the support of X and Y. (c) Record the marginal...
Q: Assistance in understanding and solving this example from Probability and Statistical (Conditional Distributions) with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) Suppose X and Y both take values in [0,1] with joint probability density f(x,y) = 4xy. a) Find fx(x) and fy(y), the marginal probability density functions. b) Are the two random variables independent? Why or why not? c) Compute...
Q: Asking for assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) The joint pmf of X and Y is given by: f(x,y) = c(x+1)(4-x)(y+1)(3-y), x=0,1,2,3 y=0,1,2 with y x. (a) Compute Cov(X,Y). *In using this (x)(y)f(x,y).
Q: Assistance in understanding and solving this example from Probability and Statistical (Conditional Distributions) with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) Let X and Y have the joint pmf: f(x,y) = (x+2y)/33, x = 1,2 y = 1,2,3. a) Display the joint pmf and the marginal pmfs on a graph. b) Find g(x y) and draw a figure depicting the...
Q: Assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) Let be random variables of the continuous type have the joint p.d.f. f(x,y)= 2, 0≤y≤ x≤1. (a). Draw a graph that illustrates the domain (support) of this p.d.f. (b). Find marginal pdf of X, fX(x), μXand σ2X (c). Find the marginal...
Q: Assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about especially on the table. 1) Let X1 and X2 be two independent random variables. Each follows a discrete Uniform distribution on S={1,2,3,4}. Let X=X1 and let Y=X1+X2. (a) Fill in the joint probability distribution f(x,y) in the table: x\y 2 3 4 ...
Q: Help in understanding and solving this example from Probability and Statistical (Conditional Distributions) with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) Let X and Y have the joint p.m.f: f(x,y) = (x+2y)/33, x = 1,2 y = 1,2,3. a) Display the joint p.m.f and the marginal p.m.f.s on a graph. b) Find g(x y) and draw a figure depicting the...
Let the joint pmf of X and Y be defined by x+y 32 x 1,2, y,2,3,4 (a) Find fx(x), the marginal pmf of X. b) Find fyv), the marginal pmf of Y (c) Find P(XsY. (d) Find P(Y 2x). (e) Find P(X+ Y 3) (f) Find PX s3-Y) (g) Are Xand Y independent or dependent?Why or why not? (h) Find the means and the variances of X and Y
Q: A car dealer sells X cars each day and always tries to sell an extended warranty on each of these cars. Let Y be the number of extended warranties sold, then Y >= X. The joint pmf of X and Y is given by: **Please give the step by steps with details to completely see how the solution came about. 1) The joint pmf of X and Y is given by: f(x,y) = c(x+1)(4-x)(y+1)(3-y), x=0,1,2,3 y=0,1,2 with y x....
Q: Help in understanding this example in joint probability distribution table: having trouble understanding how to fill in the table and how to use a maybe equation to get the numbers. Please give steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) Roll two dice. Let X be the value on the first die and let Y be the sum on both dice. Answer...