STAT 400 Midterm: STAT400 PILACHOWSKI-T FALL2013 0101 MID EXAM 1

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Stat 400 exam 2 (2. 1 4. 2) You must show all appropriate work in order to receive full credit for an answer: before handing in your test: on your first answer sheet only, please copy the pledge and sign. 1. a. (10 points) suppose that, from past experience, the math dept. knows that, on average, 70% of those who enroll in a calc i class earn a grade of b or better. The current enrollment in calc i is 1000 students. Verify that this situation satisfies the rule of thumb for calculating binomial probabilities using a normal approximation. Use a normal approximation to a binomial distribution to determine the probability that at most 725 of the current students earn a grade of b or better. (don"t forget the correction for continuity. ) 1. b. (8 points) suppose x and y are random variables defined on the same sample space with the following joint probability mass function. y x.