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Suppose that x and y are independent geometric random variables with the same parameter p.
(a) without any computations, what do you think is the value of p{x = i|x + y = n}? hint: imagine that you continually flip a coin hav- ing probability p of coming up heads. if the second head occurs on the nth flip, what is the probability mass function of the time of the first head?
(b) verify your conjecture in part (a).
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Which outcome is represented by x? rolling a two and the coin landing on tails rolling a three and the coin landing on tails rolling a two and the coin landing on heads rolling a three and the coin landing on heads
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Suppose that x and y are independent geometric random variables with the same parameter p.
(a...
(a...
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