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Problem 1 (40 points): In QU, past statistics indicate that one out of four students has a library card. Answer the following with justification. a) (10 points) if 100 students visited the library today, compute the probability that 25% of them have a library card. b) (20 points) If 4000 students visited the library in September, compute the probability with a reasonable accuracy that more than 25% of them have a library card