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
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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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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