I Expected number of random variables that must be observed

WMDhamnekar
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Expected number of random variables that must be observed before any specific sequence.
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In my opinion, answer to (a) is ## \mathbb{E} [N] = p^{-4}q^{-3} + p^{-2}q^{-1} + 2p^{-1} ##
In answer to (b), XN is wrong. It should be XN=p-4q-3 - p-3 q-2- p-2 q-1 - p-1. This might be a typographical error.
Is my answer to (a) correct?
 
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WMDhamnekar said:
In my opinion, answer to (a) is ## \mathbb{E} [N] = p^{-4}q^{-3} + p^{-2}q^{-1} + 2p^{-1} ##
Please explain your reasoning.

For b) I agree with you.
 
haruspex said:
Please explain your reasoning.

For b) I agree with you.
Answer to (a) given by author is correct. My answer is wrong. Thanks for bringing my error to my notice.
 
WMDhamnekar said:
Answer to (a) given by author is correct. My answer is wrong. Thanks for bringing my error to my notice.
You are welcome.
I had never seen this method before. It's brilliant- thanks for posting.
 
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