Suppose X has the following moment generating function:
ϕ(t)=e−2t,
find ?(?3).
a. 8
b. 0
c. 2
d. -2
e. 1
f. -8
g. None of the above
Suppose X has the following moment generating function: ϕ(t)=e−2t, find ?(?3). a. 8 b. 0 c....
Suppose that the moment generating function of X is M(t) 1-2t . Find E[X]rounded to nearest .xx.
Suppose that the moment generating function of X is M(t) 1-2t . Find E[X]rounded to nearest .xx.
Suppose that a random variable X has the moment generating function given by M(t) (1- 2t)-1 Find E(X) and V(X)
Let X be a continuous random variable with values in [ 0, 1], uniform density function fX(x) ≡ 1 and moment generating function g(t) = (e t − 1)/t. Find in terms of g(t) the moment generating function for (a) −X. (b) 1 + X. (c) 3X. (d) aX + b.
2. Let Mx(t) = 1c' + 2t?c". Find the following: (b) Var(X). (c) If Y = X-2, show that the moment-generating function of Y is e-2tMx(t). (d) If W = 3X, show that the moment-generating function of W is MX(3). 7/3,5/9
(1 point) Suppose that the moment generating function of a random variable X is My(t) = exp(4e – 4) and that of a random variable Y is My(t) = ( oer + 3)''. If X and Y are independent, find each of the following. (a) P{X + Y = 2} = (b) P{XY = 0} = (c) E[XY] = (d) E[(X+Y)?] =
Given f(x) = ( c(x + 1) if 1 < x < 3 0 else as a probability function for a continuous random variable; find a. c. b. The moment generating function MX(t). c. Use MX(t) to find the variance and the standard deviation of X.
Suppose the moment generating function of X is M(t) = z 1 2-et Find E[X2]
Suppose the moment generating function of X is M(t) = z 1 2-et Find E[X2]
Suppose the moment generating function of X is M(t) = z 1 2-et Find E[X2]