Recent content by Jonobro

The Question Let X and Y be two independent Geometric(p) random variables. Find E[(X^2+Y^2)/XY]. Formulas Px(k) = py(k) = pq^(k-1) E(x) = Σx(p(x)) My attempt at a solution I am really struggling with this question because I want to apply the LOTUS equation but am unsure how to do it for...

Homework Statement For each of the following functions find the first few terms of each of the Laurent series about the origin, that is, one series for each annular ring between singular points. Find the residue of each function at the origin. The function is... 1/(z*(z-1)(z-2)^2) Homework...

This is very helpful. Thanks. However, would the CDF be 0 for y < 1 and 1 for y > 1/e? This part does not really make sense.

Problem Let X be a uniform(0,1) random variable, and let Y=e^−X. Find the CDF of Y. Find the PDF of Y. Find EY. Relevant Equations http://puu.sh/kAVJ8/0f2b1e7b22.png My attempt at a solution If I solve for the range of y I get (1, 1/e), but because Y is not an increasing function, my...

Homework Statement Let X∼Geometric(1/3), and let Y=|X−5|. Find the range and PMF of Y. Homework Equations Px(k) = p(1-p)^(k-1) for x=1,2,3... 3. My attempt at a solution I set up the PMF for Px Px(k) = 1/3(2/3)^(k-1) for k = 1,2,3,... However I don't know how to convert this to Y

Homework Statement [/B] Consider a random experiment with a sample space S={1,2,3,⋯}. Suppose that we know: P(k) = P({k}) = c/(3^k) , for k=1,2,⋯, where c is a constant number. Find c. Find P({2,4,6}). Find P({3,4,5,⋯}) Homework Equations For any even A, P(A) ≥ 0. Prbability of the...

OP did you ever find C? I don't understand this problem...