Letx be a negative binomial random variable with parameters r and p, and let y be a binomial random variable with parameters n and p. show that p{x > n} = p{y < r} hint: either one could attempt an analytical proof of the preceding equation, which is equivalent to proving the identity

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3