# Probability: Joint Probability Mass Function, Covariance and Variance

Not what you're looking for? Search our solutions OR ask your own Custom question.

Let X and Y have joint probability mass function Pr{X = i, Y = j}= c(i + 1)(j + 2) for

i >= 0, j >= 0, and i + j < 4. Determine

a) the marginal probability mass function of X

b) the probability mass function of Y

c) the conditional probability mass function of X given Y = 0

d) the probability mass function of Z = X + Y

e) the conditional probability mass function of Z given X = 0

f) the mean of X

g) the expected value of Y

h) the mean of Z

i) the variance of X

j) the variance of Y

k) the variance of Z

l) the mean of XY

m) the covariance of X and Y

n) the mean of X conditioned on Y=0

https://brainmass.com/math/probability/probability-joint-probability-mass-function-covariance-and-variance-9843

#### Solution Summary

Fourteen statistical quantities are calculatd from a joint probability mass function. The solution is detailed and well presented.

$2.49