Revision as of 07:05, 3 November 2008 by Wang97 (Talk)

a)

Pr[x>=a]<=(E[x]/a)   <- def of markov inqeuality
Let x be number of hours to catch a fish
plug in numbers: E[x]=1 (given)   a=3b (given)
so we get:
Pr[take 3 hours to catch a fish]= Pr[x>=3]<=(1/3)

b)

Pr[not catch any fish in 2 hours]
= 1 - Pr[catch fish in 2+ hours] 
= 1 - (Pr[x>=2]<=(1/2))
>=(1/2)

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