For another approach to Theoretical Exercise 1, let Tr denote the number of flips required to obtain a run of r consecutive heads.
(a) Determine .
(b) Determine E[Tr] in terms of E[Tr−1].
(c) What is E[T1]?
(d) What is E[Tr]?
Exercise 1
A coin that lands on heads with probability p is continually flipped. Compute the expected number of flips that are made until a string of r heads in a row is obtained.
Simplify and solve for E[X]
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