Here are two random variables that are uncorrelated but not independent. Let X and Y have the following joint probability mass function:
a. Use the definition of independence on page 141 to show that X and Y are not independent (in fact Y=|X|, so Y is actually a function of X).
b. Show that X and Y are uncorrelated.
(a) P(X = 1) = 1/3, ?(Y = 1) = 2/3, P(X = 1 and Y = 1) = 1/3 ?P(X = 1)?(Y = 1).
(b) 
You might also like to view...
What does flame spread index (FSI) mean? Does FSI apply to a material or an assembly?
What will be an ideal response?
A corner-clinching tool centers the bead and clinches it to the corner when struck with a _____.
a. plastic hammer b. rubber mallet c. sledgehammer d. closed hand
Which of the following types of tree produces seeds in cones, has needle-like leaves, and produces
softwood?
a. evergreens c. pulpwoods b. hardwoods d. conifers
On a negative-going pulse, the leading edge is the ________
A) rising edge B) negative-going edge C) positive-going edge D) LOW-to-HIGH transition