Suppose that X is a random variable that takes on the values 0, 1 and 2 with the following probabilities P[X = 0] = 0.3, P[X = 1] = 0.20, P[X = 2] = 0.50 Suppose we take two independent draws from this distribution, denoted by X₁ and X2, and then compute the sample average X = (X₁ + X2)/2. a) Find E[X₁] and Var[X₁]. b) Find the sampling distribution of X (sample mean) for a sample size of 2. c) Plot the distribution of X. Does the distribution of X look like a normal distribution?

Suppose that X is a random variable that takes on the values 0, 1 and 2 with the following probabilities P[X = 0] = 0.3, P[X = 1] = 0.20, P[X = 2] = 0.50 Suppose we take two independent draws from this distribution, denoted by X₁ and X2, and then compute the sample average X = (X₁ + X2)/2. a) Find E[X₁] and Var[X₁]. b) Find the sampling distribution of X (sample mean) for a sample size of 2. c) Plot the distribution of X. Does the distribution of X look like a normal distribution?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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