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8.8

Probability and Statistic problem

Asked by CHIN1234 in Math & Science, Probability & Statistics

Tags: probability, statistic

Hi I learn statistic by myself and now I have problem in answering a text book question with no answer on it I am not sure if you would help me to answer it. Thanks...

1.a) X is a random variable distribution as Geo(p). Find the distribution function of X.

b) Let X,.....Xn be independent identically distributed random variables having common distribution function Fx(.). Express the event 'the smallest of the Xs exceeds k' as an intersection of n events, each involving one of the Xs. Deduce that the distribution function of the smallest value is
G(k)=1-[1-Fx(k)]^ n .
Use this result to find the distribution of the smallest among n independent and identically distributed geometric random variables. Why is this distribution "obvious"?


Note:
Fx mean big F with subscript x
[...] ^n       mean something to the power of n


thank you


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Zones: Math & Science, Probability & Statistics
Tags: probability, statistic
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Solution Provided By: ozo
Participating Experts: 3
Solution Grade: A
 
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