Let X be a RV with PMF Px(x) = x²/c |0 x = −3, −2, −1, 0, 1, 2, 3, otherwise. (a) Find c and E[X]. (b) What is the PMF of the random variable Z = (X – E[X])²? (c) Using the results from (b), find the variance of X. (d) Find the variance of X using the formula var(X) = Σx(x − E[X])²px(x).

Let X be a RV with PMF Px(x) = x²/c |0 x = −3, −2, −1, 0, 1, 2, 3, otherwise. (a) Find c and E[X]. (b) What is the PMF of the random variable Z = (X – E[X])²? (c) Using the results from (b), find the variance of X. (d) Find the variance of X using the formula var(X) = Σx(x − E[X])²px(x).

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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