Need help doing this proof on R-markdown ( 9.9 ) For the multinomial probability distribution, show that [ operatorname{Cov} left(n_{i}, n_{j} right)=-n p_{i} p_{j} ] [Hint: First show that ( left.E left(n_{i} n_{j} right)=n(n-1) p_{i} p_{j} . right] )

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Need help doing this proof on R-markdown   ( 9.9  ) For the multinomial probability distribution, show that  [  operatorname{Cov} left(n_{i}, n_{j} right)=-n p_{i} p_{j}  ] [Hint: First show that  (  left.E left(n_{i} n_{j} right)=n(n-1) p_{i} p_{j} . right]  )

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