Let X be a continuous random variable with density function f (x) = 3 2 x 2, −1 ≤ x ≤ 1. Sketch this density function. Use the central limit theorem to sketch the approximate density function of S = X1 +···+ X50, where the Xi are independent random variables with density f . Similarly, sketch the approximate density functions of S/50 and S/ √50. For each sketch, label at least three points on the horizontal axis
Let X be a continuous random variable with density function f (x) = 3 2 x 2, −1 ≤ x ≤ 1. Sketch this density function. Use the central limit theorem to sketch the approximate density function of S = X1 +···+ X50, where the Xi are independent random variables with density f . Similarly, sketch the approximate density functions of S/50 and S/ √50. For each sketch, label at least three points on the horizontal axis
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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25. Let X be a continuous random variable with density function f (x) = 3
2 x 2, −1 ≤
x ≤ 1. Sketch this density function. Use the central limit theorem to sketch the approximate density function of S = X1 +···+ X50, where the Xi are
independent random variables with density f . Similarly, sketch the approximate density
√50. For each sketch, label at least three
points on the horizontal axis
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