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Calculus
Tutor: None Selected Time limit: 1 Day

A coin is characterized by a probability of p of falling down on head. We throw it indefinitely. Calculate the expected value of the number of throws necessary to obtain a chain of r consecutive results of type head.

Tr : number of throws necessary to obtain r throws giving consecutives heads

a) determine E[Tr|Tr-1]

b) determine E[Tr] in terms of E[Tr-1]

c) give E[T1]

d) calculate E[Tr]

Jul 24th, 2015

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Jul 24th, 2015

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