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Let X be a geometric random variable with parameter p . Find the probability that X≥10...

Let X be a geometric random variable with parameter p . Find the probability that X≥10 . Express your answer in terms of p using standard notation (click on the “STANDARD NOTATION" button below.)

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Answer #1

Let X be a geometric random variable with parameter p .

Then the probability mass function of X is given as

Now,

= 1 - [ P(1) + P(2) + P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) ]

  

Therefore,

  

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