STATISTICS

oussnou 5 [34] Suppose that independent trials, each with probability of success p,{} <: p a if x denote the number trials required until successes are obtained then is said to follow negative binomial distribution with probability mass function given by using transformation y="X" r show that of can be written as pi result in part pif="yi=i1JJ'(:)p'i1Piy1y" which reason name derive moment generating random variable y. do not use known from geometric distribution. calculate expected value e or equivalently f and variance vari ofx>