Elections will be held next month for a new president. The current president is up for reelection and it is commonly assumed that she has a high approval rating of about 97%.

(a) What is the exact probability that among the 100 people who turn up to vote exactly 98 of them actually vote for her?

(b)Approximate this probability using the Poisson process and assuming e = 2.7. (Use the fact that a Poisson process is derived from a Bernoulli process to get an approximation to the Bernoulli process when p is small.)

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