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Please make sure your answer is correct!and write tidy!thx Question 1 In a College in USA, according to the admission record of last year, 807'3000

Please make sure your answer is correct!and write tidy!thx

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Question 1 In a College in USA, according to the admission record of last year, 807'3000 male students and 10980000 female students were enrolled as undergraduates. Receiving scholarship were 60.6% of the male students and 65.2% of the female students. Of those receiving scholarship, 44.8% of the males got presidential scholarship and 50.4% of the females got presidential scholarship. Choose 1 student at random. Find the probability that the student is a) A male student without scholarship b) A male student, given that the student has scholarship c) A female student or a student who receives presidential scholarship Question 2 Given a sample space with eventsA and B such that P(A) = 0.342, P(B) = 0.279, and P(A or B) = 0.601. Are A and B mutually exclusive? Are A and B independent? Question 3 Show that the mean for a binomial random variable X with n = 3 is 339

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