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5. Suppose that in a city of 10,000 people, there are 4,000 who like football and...

5. Suppose that in a city of 10,000 people, there are 4,000 who like football and 6,000 who do not. Suppose that we conduct a poll of 16 citizens. What is the probability that at least half of those polled like football? (Use Binomial approximation to find a decimal answer.) 1

6. Suppose that a random variable X is an Exponential Random Variable with parameter β = 3. (a) What is E(X)? (b) Compute P(X > 2). (c) Compute P(X > 5 | X > 3).

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