Question

Let f(x) = (1/2)^x, x = 1,2,3,... be the PMF of the random variable X. Find...

  1. Let f(x) = (1/2)^x, x = 1,2,3,... be the PMF of the random variable X. Find the MGF, mean, and variance of X.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let Z be the random variable with support SZ = {1,2,3} and pmf f(z) = z/6,...
Let Z be the random variable with support SZ = {1,2,3} and pmf f(z) = z/6, for z ∈ SZ . (a)  Find the MGF (moment generating function) of Z, Mz(t). (b) Using Mz(t), calculate E[z^3].
Let f(x)=c(4/9)^x. Find c such that f represents the pmf of a random variable whose possible...
Let f(x)=c(4/9)^x. Find c such that f represents the pmf of a random variable whose possible values are 1, 2, 3, ... . A.4/5 B.5/4 C.4/9 The above random variable is: A.Geom(4/5) random variable B.Bern(4/9) random variableC c.Geom(5/9) random variable
Let the random variable X and Y have the joint pmf f(x, y) = xy^2/c where...
Let the random variable X and Y have the joint pmf f(x, y) = xy^2/c where x = 1, 2, 3; y = 1, 2, x + y ≤ 4 , that is, (x, y) are {(1, 1),(1, 2),(2, 1),(2, 2),(3, 1)} . (a) Find c > 0 . (b) Find μX (c) Find μY (d) Find σ^2 X (e) Find σ^2 Y (f) Find Cov (X, Y ) (g) Find ρ , Corr (X, Y ) (h) Are X...
Let X be a random variable with pdf f(x)=12, 0<x<2. a) Find the cdf F(x). b)...
Let X be a random variable with pdf f(x)=12, 0<x<2. a) Find the cdf F(x). b) Find the mean of X. c) Find the variance of X. d) Find F (1.4). e) Find P(12<X<1). f) Find PX>3.
1. Let X be a discrete random variable with the probability mass function P(x) = kx2...
1. Let X be a discrete random variable with the probability mass function P(x) = kx2 for x = 2, 3, 4, 6. (a) Find the appropriate value of k. (b) Find P(3), F(3), P(4.2), and F(4.2). (c) Sketch the graphs of the pmf P(x) and of the cdf F(x). (d) Find the mean µ and the variance σ 2 of X. [Note: For a random variable, by definition its mean is the same as its expectation, µ = E(X).]
i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find...
i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find P(X = 4). ii) Let X equal the larger outcome when a pair of four-sided dice is rolled. The pmf of X is f(x) = (2x - 1/ 16) ; x = 1; 2; 3; 4. Find the mean, variance and standard deviation of X. iii) Let μ and σ^2 denote the mean and variance of the random variable able X. Determine E [(X...
1. Suppose a random variable X has a pmf 
p(x) = 3^(x-1)/4^x , x = 1,2,......
1. Suppose a random variable X has a pmf 
p(x) = 3^(x-1)/4^x , x = 1,2,... (a) Find the moment generating function of X. 
 (b) Give a realistic example of an experiment that this random variable can be defined from its sample space. 
 (c) Find the mean and variance of X.
let the discrete random variable, x, have the following probability mass function f(x)= c|x-2|, x=-2,-1,0,1,2,3 a....
let the discrete random variable, x, have the following probability mass function f(x)= c|x-2|, x=-2,-1,0,1,2,3 a. find the constant such that fx is a valid pmf b. find P(|X-1|>1) c. find the expected value of X d. find the expected value of X^2
Let X be a discrete random variable with the pmf p(x): 0.8 for x=-4, 0.1 for...
Let X be a discrete random variable with the pmf p(x): 0.8 for x=-4, 0.1 for x=-2, 0.07 for x=0, 0.03 for x=2 a) Find E(2/X) b) Find E(lXl) c) Find Var(lXl)
Let X be a random variable with the pmf p(x) which is positive at x=1;0;1, and...
Let X be a random variable with the pmf p(x) which is positive at x=1;0;1, and zero elsewhere. If E(X^3) = 0 andE(X^2) =p(0),what is p(1)?