Question: ( 2 0 % ) Let x G e o ( p ) . ( a ) Show that P ( x > j +

(20%) Let xGeo(p).
(a) Show that P(x>j+k|x>j)=P(x>k) for any positive integer j,k.
(b) Someone is doing an experiment with binary outcomes, say success and fail. One will
stop this experiment when the first success occurs. According to the past experience, it
is known that the expected number of required experiments is 6. Find the probability
that one requires 3 experiments to get a success.
(20%) Let xGeo(p). (a) Show that P(x>j+k|x>j)=P(x>k) for any positive integer

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