question archive Another example of a discrete probability distribution is the Negative Binomial distribution

Another example of a discrete probability distribution is the Negative Binomial distribution

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Another example of a discrete probability distribution is the Negative Binomial distribution. The Negative Binomial distribution is used when you want to ?gure out, if you have some experiment that has probability of success p, what is the probability you experience is: failures before you reach your rth success? If X is a random variable that represents the number of failures you experience before you reach your rth success, then: P(X = k) = (T + j: ' 1)l?l —p)'° If you have an experiment that has a 30% chance of success, what is the probability you experience more than 8 failures before you reach your 4th suc- cess of the experiment? Remark: You must show all the work, including calculating the factorials, to get full credit. Only use the calculator for evaluating the exponents.

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