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# hw4 - Homework 4 due on 3.3.9 Out of n individual voters at...

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Homework 4, due on Apr 23, 2010 3.3.9 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 ݌ , and of a Democrat switching is ݌ . Suppose individuals behave independently. Find a) the expectation and b) the variance of the number of Republican votes at the second election. ܦ ܦ ܦ a) Predict the value of ܺ for large n . 000 the chance that your prediction is off by more than ߳ is ely the least value of n such that your prediction of ܺ is correct to within 0.01 3.4.18 3.3.12 A random variable X has expectation 10 and standard deviation 5. a) Find the smallest upper bound you can for P ( X ൒ 20 ). b) Could X be a binomial random variable? 3.3.14 Suppose the average family income in an area is \$10,000. a) Find an upper bound for the percentage of families with incomes over \$50,000.

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hw4 - Homework 4 due on 3.3.9 Out of n individual voters at...

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