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Expected value flip of a coin

  1. Feb 19, 2008 #1
    [problem] Consider n independent flips of a coin having prob p of landing heads. Say a changeover occurs whenever an outcome differs from the one preceding it. E.g., H H T H T H H T means 5 changeovers. What is the expected number of changeovers for an arbitrary p?

    [s0lution]
    see attachment.

    WHERE is the exponential coming from?
     

    Attached Files:

  2. jcsd
  3. Feb 19, 2008 #2

    EnumaElish

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  4. Feb 19, 2008 #3
    Thank you! We haven't gotten there in class yet, so I was clueless. Thanks again.
     
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