Out of n individual voters at an election r vote republican, Basic Statistics

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Out of n individual voters at an election r vote republican

Question: Out of n individual voters at an election, r vote Republican and n -r vote Democrat. At the next election the probability of a Republican switching to vote Democrat is P₁ and of a Democrat switching is p₂. Suppose individuals behave independently. Find

a) the expectation and

b) the variance of the number of Republican votes at the second election.

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Basic Statistics: Out of n individual voters at an election r vote republican

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