Exercise 29 (i) Let X ~ Binom(100, ). Find a, b e R so that Y = aX + b has expected value 0 and variance 1. (ii) Let X1, X2,... independent random variables with Bernoulli()-distribution. Let Sn := i=1 Find a, b e R so that Y aS20 + b has expected value 0 and variance 1.
Exercise 29 (i) Let X ~ Binom(100, ). Find a, b e R so that Y = aX + b has expected value 0 and variance 1. (ii) Let X1, X2,... independent random variables with Bernoulli()-distribution. Let Sn := i=1 Find a, b e R so that Y aS20 + b has expected value 0 and variance 1.
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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Transcribed Image Text:Exercise 29
(i) Let X ~ Binom(100, ). Find a, b e R so that Y = aX + b has expected value 0 and variance 1.
(ii) Let X1, X2, ... independent random variables with Bernoulli()-distribution. Let
Sn :=
ΣΧ.
i=1
Find a, b e R so that Y = aS2o + b has expected value 0 and variance 1.
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