Suppose that a random variable X has the moment generating function given by M(t) (1- 2t)-1...
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.
If the discrete random variable X has a moment generating function given by My(t) = (e'-1) Find E(X + 2x2) and Var(2X + 40).
(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)?] =
3.81 The random variable X has moment generating function M (1) = 0.2e41 + 0.7e7t + 0.1 e9t -oo < t <00, Find P(X = 7).
Use the given moment-generating function, Mx(t), to identify the distribution of the random variable, X in each of the following cases. (Specify the exact type of distribution and the value(s) of any relevant parameters(s): 1. (a) M(-3 (b) M() exp(2e -2) Ce) M T112t)3 (f) Mx(t) = ( 1-3t 10 ) (d) Mx(t)= exp(2t2_t) (e) Mx(t)= - m01 -2t)!
(3 marks) The moment generating function of a random variable X is given by MX(t) = 24 20 < - In 0.6. Find the mean and standard deviation of X using its moment generating function.
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
If the moment generating function of X is 1/(1−2t), find the expected value of the random variable Y= 100(0.5)^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]