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Let X be a discrete random variable with positive integer outputs a show that p (X=...

Let X be a discrete random
variable with positive integer outputs
a show that
p (X= K)= P( X> K-1) - P( X> k)
for any positive integer k
b Assume that for all k >I
we have P (X>k)=q^k  use l()
to show that X is a geometric
random variable

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