a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

Q: y(t) is incorrect

A:

Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

Q: Var(X)=E([X-Hx])² صواب İhi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the local extrema of the function f(x, y) = e-(cos(r)+sin(y)) and test for which are max, min,…

A:

Q: (3) Let X = n(µ,4) and Var(2x) = E(4-7x) find u.

A: Given,X~n(μ , 4)

Q: DETERMINE FOR WHICH BETA AND x VALUES THE FUNCTIONS f(x)=Bz, g(x) = sin(32), A(z) = cos(3x), are…

A:

Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

A:

Q: (c) Find A fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, fs = 218, f6 = 250, fr =…

A: We know that  △fi = fi+1 - fi ∆2fi = ∆fi+1-∆fi and so on

Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

A:

Q: f(x)= AEAX, x > 0 Y= (x)/ A Where, A = 2 Find the CDF and PDF for Y.

A:

Q: Find f(x), if f(x)=f(x)+ƒ f(x) dx, given that f(0) = 1.

A:

Q: (b) Consider the non-stationary series {Xt}, Xt=t+St+ €t where St has period 2 and ~ iid(0, ²) and…

A: A non-stationary series Xt is given such that: Xt=t+St+εt where St has a period 2 and εt~iid0,σ2.

Q: Evaluate S cot? (r) sec (x) dæ

A:

Q: Show that if ƒ (z) = C where C is a constant, then f (s) = C/s for 8 > 0.

A:

Q: Differentiate g(t) = -8/t .

A: Known fact: ddxx=12xddxkfx=kddxfx

Q: Find R f(x, y) dA where f(x, y) = 3x + 1 and R = [1, 2] × [−2, 4]. SSR f(x, y) dA = Submit answer…

A:

Q: . Find div(F x G) = V · (F × G). F(x, y, z) = i + 9xj + 3yk G(x, y, z) = xi - yj + zk div(F x G) =

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find P(A and B')

A: P(A) = P(B) = 0.33 P(A or B) = 0.43

Q: Evaluate f(f(x+2y)dy) dx.

A:

Q: 2 + Vx dx. (a) Evaluate 1 dx. x + x(ln x)2 (b) Evaluate

A: Explained below

Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

A:

Q: The process followed by a variable x is: dx = function f(x,t) = In(x/t)? uxdt + oxdz.What is the…

A: Given:     Using x is : dx=μxdt+σxdz find the process for the function f(x,t)=In(xt).    Also that…

Q: b) Evaluate f v1 – x² dx.

A:

Q: Let X ~ Exp(λ). Find F(X) and E(X).

A: Let X ~ Exp(λ)The probability density function of X is fx(x)=e-λx   ;x>0