12. i. State Central limit theorem and tell what is the main theme of it.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![12. i. State Central limit theorem and tell what is the main theme of it.
ii. Show that if the random variables (X, Y) follow the probability density of a bivariate normal
distribution and if the correlation p = 0, X and Y are independent. (Show that f(x, y) = g(x)
h(y))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F593ae5b5-3a23-4d06-a4e7-3654e88936cf%2Fce99c06a-62b3-4322-a5cc-a6ec7193567d%2F35g1zsh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. i. State Central limit theorem and tell what is the main theme of it.
ii. Show that if the random variables (X, Y) follow the probability density of a bivariate normal
distribution and if the correlation p = 0, X and Y are independent. (Show that f(x, y) = g(x)
h(y))
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