If the moment generating function of X is 1/(1−2t), find the expected value of the random variable Y= 100(0.5)^X.
If the moment generating function of X is 1/(1−2t), find the expected value of the random variable Y= 100(0.5)^X.
Suppose that a random variable X has the moment generating function given by M(t) (1- 2t)-1 Find E(X) and V(X)
Exercise 1 Let X be a random variable that has moment generating function My(t) = 0.5-t2-t Find P[-1<x< 1]
The moment generating function of a random variable X is as follows: 1-Xt Find the probability that X is within 0.5 standard deviation from its mean.
5) Let X be a random variable with density Find the moment generating function. State the values of t for which the moment generating function exists.
(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)?] =
What is the moment generating function of the random variable Y = 2X + 1, where X has the pdf f(x) = x/2 , 0 < x< 2, zero elsewhere?
+ 2 A continuous random variable Y has moment generating function m(t) = e50t+251-72. Find (a) P(40 <Y < 45) (b) a value b such that P(Y < b) = 0.975.
A random variable has a moment generating function given by MX(t) = (e^t + 1)^4/16 . Find the expected value and the variance of the variable Y = 2X + 3
Random variable X has MGF(moment generating function) gX(t) = , t < 1. Then for random variable Y = aX, some constant a > 0, what is the MGF for Y ? What is the mean and variance for Y ?
(1 point) If X is a random variable with moment generating function then and Var(X)