Question: During a presidential election, each state is allotted a different number of votes in the Electoral College depending on population. For example, California is allotted

During a presidential election, each state is allotted a different number of votes in the Electoral College depending on population. For example, California is allotted 55 votes (the most) while several states (including the District of Columbia) are allotted 3 votes each (the least). When a presidential candidate wins the popular vote in a state, the candidate wins all the Electoral College votes in that state. To become president, a candidate must win 270 of the total of 538 votes in the Electoral College. Chance (Winter 2010) demonstrated the impact on the presidential election of winning California. Assuming a candidate wins California's 55 votes, the number of additional Electoral College votes the candidate will win can be approximated by a normal distribution with μ = 241.5 votes and σ = 49.8 votes. If a presidential candidate wins the popular vote in California, what are the chances that he or she becomes the next U.S. president?

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