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two questions 1. Flip a fair coin 1000 times. What is the probability that you get exactly 500 heads? 2. Let P(n) =Probability of getting

image text in transcribedtwo questions

1. Flip a fair coin 1000 times. What is the probability that you get exactly 500 heads? 2. Let P(n) =Probability of getting n heads with 2n coin flips. Use Stirling's approximation (n! ~n"e-n 2nn) to show that P(n) ~ . (Here, e is the base of the natural logarithm.)

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