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Explain 47.5% of Americans voted for Romney in the last presidential election. Consider a
random unbiased sample of 3 Americans. Find the probability that, in the sample, there were no
female Romney voters. Assume gender is independent of voting preference. How many in the
sample do we expect will have voted for Romney?
Solution
P(Romney)=0.475 P(male)=0.5 P(Romney and
male)=P(Romney)*P(male)=0.23750 P(3 male)=0.23750*0.23750*0.23750=0.013396484

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  • 1. Explain 47.5% of Americans voted for Romney in the last presidential election. Consider a random unbiased sample of 3 Americans. Find the probability that, in the sample, there were no female Romney voters. Assume gender is independent of voting preference. How many in the sample do we expect will have voted for Romney? Solution P(Romney)=0.475 P(male)=0.5 P(Romney and male)=P(Romney)*P(male)=0.23750 P(3 male)=0.23750*0.23750*0.23750=0.013396484