var mgf = require( '@stdlib/stats-base-dists-discrete-uniform-mgf' ); mgf( t, a, b ) Evaluates the moment-generating function (MGF) for a discrete uniform distribution with parameters a (minimum support) and b (
The expected value or first moment of a random variable is the average of all possible values of the variable weighted according to the probability distribution. This is calculated using an integral or a sum for continuous and discrete variables, respectively. What is a moment-generating function ...
Suppose a discrete random variable X has the following probability distribution: P(X = k) = \frac{(\ln{2})^ k}{k!}, k = 1, 2, 3, ... . a) Find \mu_X = E(X) by finding the sum of the infinite series....
Find the p.m.f og X and give the name of the distribution when the m.g.f of X is given by a. M(t) = (.04e^t)(1-.6e^t)^{-4},,, -ln(.6) b. M(t) = (.4 + .6e^t)^4 c. M(t) = e^{4(e^t - 1)} Let ...
Find the MGF of the random variable (U, V). A) compute E(x) B) compute Var(x) C) compute P( X \geq 3) D) compute P(X \geq 3|X \geq -1) E) what is the MGF of X 4? Let X be a discret...