E(2 + 4X)2 E ( 4 + 2 * 2 * 4 X + 16 X2)
= 4 + 16 E(X) + 16 E (X2)
= 4 + 16 E(X) + 16 [ Var(X) + E(X)2 ] , [ Since Var(X) = E (X2) - E(X)2 ]
= 4 + 16 (-1 ) + 16 [ 4 + 1]
= 68
Var ( 2 + 3 X) = Var(2) + 32 Var (X)
= 0 + 9 * 4
= 36
Compute f (x) for f(x)=tan(e-3x + sin 4x + 2) a. f(x)=(-3e-3x + 4cos 4x) sec?(e-3x + sin 4x+2) b. None of the other answers oc f'(x) = sec?(-e-3x + 4cos 4x) d. f'(x) =(e-3x + sin 4x) sec?(e-3x + sin 4x+1)
(1 point) For a random variable X, suppose that E[X] = 2 and Var(X) = 3. Then (a) E[(5 + x)2) = (b) Var(2 + 6X) =
(2. Assume that X, Y, and Z are random variables, with EX) = 2, Var(X) = 4, E(Y) = -1, Var(Y) = 6, E(Z) = 4, Var(Z) = 8,Cov(X,Y) = 1, Cov(X, Z) = -1, Cov(Y,Z) = 0 Find E(3X + 4y - 62) and Var(3x + 4y - 62).
What is Var[3X]? Let X be a random variable such that Var[X] = 5 and E[X] = 4.
(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write the integrand as a function of u, ∫(4x−4)(2x^2−4x+2)^4 dx =∫ and hence solve the integral as a function of u, and then find the exact value of the definite integral. ii) Make the substitution u=e^(3x)/6, and write the integrand as a function of u. ∫ e^(3x)dx/36+e^(6x)=∫ Hence solve the integral as a function of u, including a constant of integration c, and then write...
X,Y, and Z are random variables. Var(X) = 2, Var(Y) = 1, Var(Z) = 5, Cov(X,Y) = 3, Cov(X, Z) = -2, Cov(Y,Z) = 7. Determine Var(3X – 2Y - 2+10)
Entered Answer Preview (9/4)* [e^(4*x)]-x*[e^(4*x)]-(1/4)+4*x The answer above is NOT correct. (1 point) Find y as a function of x if j.(4) – 8y)" + 16y” = 0, y(0) = 2, y(0) = 12, y" (0) = 16, y" (0) = 0. y(x) = (9/4)e^(4x)-xe^(4x)-(1/4)+(4x)
Obtain E(Z|X), Var(Z|X) and verify that E(E(Z|X)) =E(Z), Var(E(Z|X))+E(Var(Z|X)) =Var(Z) 3. Let X, Y be independent Exponential (1) random variables. Define 1, if X Y<2 Obtain E (Z|X), Var(ZX) and verify that E(E(Zx)) E(Z), Var(E(Z|X))+E(Var(Z|X)) - Var(Z)
(1 point) Para una variable aleatoria X, supongamos que E[X] = 5 y Var(X) = 10. entonces (a) E[( 5 x)?] = (b) Var(2 + 6X) =
Find C(x) if C'(x)=5x2 - 7x+4 and C(6) = 260. + 4x + 2 O A. C(x) = 5x2-3x+ O B. C(x) = 5x2-3x +4x-260 O C. C(x) = 3x + 4x-2 5 7 OD. C(x)= 3x - 3 + 4x + 260 ces ary Click to select your answer