let k be a random variable that takes withequal prob 1/(2n+1),values inintegerthe interral' [-n, n]. Find the PMF of therandom variable y = log (x) where X = a¹" anda>o.

Let X be a random variable that takes on integer values in the interval [-n, n] with equal…

Answered: let k be a random variable that takes…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Train X arrives at a station at random in the time interval (0, T) and stops for 'a’min. Train Y arrives independently in the same interval and stops for 'b’ min. (i) Find the probability P, that X will arrive before Y. (ii) Find the probability P, that the two trains meet,
A random walk (RW) {Sn}n>o is a sum of id r.v.s X1, X2, •• , Xn,withP(X1 = a) = p, P(X1 = b) = 1 -p= q.Find the expectation E(Snl and variance var(Sn) of Sn for any n.
Let X be a strictly positive random variable. Determine which of the following quantitiesare larger:(a) E(X^4) or (E(X))^4(b) E(X^1/9) or (E(X))^1/9(c) E(X^3 + 4X^2 + 9) or (E(X))^3 + 4(E(X))^2 + 9(d) E(e^X ) or e^E(X)(e) E(arctan(X)) or arctan(E(X))
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let k be a random variable that takes with equal prob 1/(2n+1), the values in integer the interval [-n, n]. Find the PMF of the random variable y = log (x) where X = a^k! and aso.