In some experiment, two outcomes are possible: success (with probability 0.4) and failure. How many independent repetitions of this experiment are needed to conclude with probability at least 0.9 that the frequency of the height of success deviates from the probability of success in a single experiment by less than 0.1? Use: Sn (a) Bernstein's inequality (If X ~ B(n,p) then, Vɛ>0 P - ne? p>ɛ <2e4)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In some experiment, two outcomes are possible: success (with probability 0.4) and failure. How
many independent repetitions of this experiment are needed to conclude with probability at least 0.9
that the frequency of the height of success deviates from the probability of success in a single
experiment by less than 0.1? Use:
ne?
(a) Bernstein's inequality (If X ~B(n,p) then, V>0 P
4
- pl >ɛ <2e
Transcribed Image Text:In some experiment, two outcomes are possible: success (with probability 0.4) and failure. How many independent repetitions of this experiment are needed to conclude with probability at least 0.9 that the frequency of the height of success deviates from the probability of success in a single experiment by less than 0.1? Use: ne? (a) Bernstein's inequality (If X ~B(n,p) then, V>0 P 4 - pl >ɛ <2e
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