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1. The response rate to telephone polls is around 2%. Of people who respond to telephone polls. currently about 40% approve of the President Suppose we perform a telephone poll by calling a random sample of 50,000 registered voters. (a) Let X be a binomial random variable representing the number of people who respond to the telephone poll. What are the expected value and standard deviation of X? (b) Let Y be a binomial random variable representing the number of people who respond to the telephone poll and approve of the President. What are the expected value and standard deviation of Y? (c) Use R to find the probability that at least 420 people respond to the telephone poll and approve of the President. Give your R code.

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