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Al. A random sample of n observations, Yi, ..., Yn, is selected from a pop- ulation in which Yi, for i-1, 2, ..., n, possesses a common distribution the same as that of the population distribution Y. (a) Suppose that Y has a Binomial distribution B(N, P). If N is known, P is unknown, find out the estimator P using the method of moments (b) If N and P are both unknown, find out the estimators P and N using the method of moments.

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Sluon Let Y,Y - YN be a random (sample of size N From same porent distibuion BCN, P) 시 .. Mean oF disłrbuhan N-L y-1) P. Ct-P) (y-i) Усі ( N-)-Су-1) Νου) Усо N-I y:22- .. consider VCy) - NP CI-P) N p V(V) 든 (Y) ν we khoto E (Y)C) blem kno, then hwe is No prok oF esHmedion of N , just P. The emomest eshim uation suppose N t &mome For P is andt ob tained oe in aeple population quanhHes by Gample m, (sample mean- n) anie b Sappose N and p both are unknoo obhajh . moment estm ato oF N ond P Can ob population quanty by Sample quan mil

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