(a) Show that the mgf of X is (b) Find E(X) and Var(X). Mx (t): [if t‡0, if t = 0

Q: e Gren that f(x) = and g(x) = vx + 5, find the composite function (f gz) a f•g)(x) = 2-7 b. f•9)(x)…

A: Given data

Q: Let f(x) = ln x and g(x) Show that f(x) and g(x) are both increasing when x > 0. Vr.

A: Given, f(x) = lnx When f(x) is increasing then f'(x) > 0  Differentiating f(x) with respect to x…

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: = f(x) = (4x – 2)(x² – 3). F %3D

A:

Q: Suppose f: R → R is a function such that for all x, y ≤ R, f(x + y) = f(x) + f(y) and f(xy) =…

A:

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 7. F(x) F(2) F(5) F(7) F(x) = = L²…

A:

Q: Let (P, C, K, E, D) be a cryptosystem such that #K = #P = #C. Show that if this cryptosystem has…

A:

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

A:

Q: Calculate L6 for f(x) = v9x + I over [1,3]. (Give your answer to three decimal places.)

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is

Q: For the PMF Px(x) = { 2 0 x = 1,3, otherwise. calculate E[2x].

A: The PMF of X is given as,