# Question: Find the moment generating function of the continuous random variable

Find the moment- generating function of the continuous random variable X whose probability density is given by

And use it to find µ'1, µ'2, and σ2.

And use it to find µ'1, µ'2, and σ2.

**View Solution:**## Answer to relevant Questions

Find the moment- generating function of the discrete random variable of the discrete random variable f(x) = 2(1/3)x for x = 1,2,3,… And use it to determine the values of µ'1 and µ'2. Given the moment- generating function MX(t) = e3t+ 8t2 , find the moment- generating function of the random variable Z = 1/4 (X – 3), and use it to determine the mean and the variance of Z. If the joint probability density of X and Y is given by Find the variance of W = 3X + 4Y – 5. (a) Show that the conditional distribution function of the continuous random variable X, given a< X F b, is given by (b) Differentiate the result of part (a) with respect to x to find the conditional probability density of X ...The amount of time it takes a person to be served at a given restaurant is a random variable with the probability density Find the mean and the variance of this random variable.Post your question