A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Problem 4 (counts as two problems): Let X1, X2, .., X,be a collection of independent discrete random variables
that all take the value 1 with probability p and take the value 0 with probability (1-p). The following set of steps
illustrates the Law of Large Numbers at work.
K (which is the
п
proporto
uppose n
10,000. C Chabushev'a inaauality toravid
Inexed .
d) Use calculus to show that if p is a number between 0 and 1, then p(1 – p)<-
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Transcribed Image Text:Problem 4 (counts as two problems): Let X1, X2, .., X,be a collection of independent discrete random variables that all take the value 1 with probability p and take the value 0 with probability (1-p). The following set of steps illustrates the Law of Large Numbers at work. K (which is the п proporto uppose n 10,000. C Chabushev'a inaauality toravid Inexed . d) Use calculus to show that if p is a number between 0 and 1, then p(1 – p)<-
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