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4. (2 pts.) To head a newly formed Department of Business Management, suppose that 50% of the population supports Erika, 20% supports Ruth, and

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4. (2 pts.) To head a newly formed Department of Business Management, suppose that 50% of the population supports Erika, 20% supports Ruth, and the rest are split between Peter, Jon and Jerry. A poll asks 400 random people who they support. (1) Use the central limit theorem to estimate the probability that at least 210 people prefer Erika? (2) Use the central limit theorem to estimate the probability that less than 25% of those polled prefer Peter, Jon or Jerry?

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