IOE265HW7 - IOE 265 W2007 HW#7 Due Mon April 2 at 9:00...

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IOE 265 W2007 HW #7 Due: Mon April 2 at 9:00 AM (beginning of lecture) Please include your name, UM ID and lab section time in your written homework assignment. You may work with other students to discuss problem approaches and check answers, but you may not copy another’s work or refer to solutions from the Instructor’s manual or solutions from previous semesters. Please be sure to staple your assignment if it includes multiple pages. All problems are from the Devore text, 6 th edition. 1. (1 point) p. 265, problem #2. a. (0.5 point) Assuming that students buy calculators with the same probability and independently of each other, then the number X of 20 students that purchase a Texas Instruments calculator is a binomial random variable with n = 20 and p unknown. However, the sample proportion ˆ p = X / n is an unbiased estimator for p . In the given sample, ˆ p = 10/20 = 0.5 . b. (0.5 point) Following a similar argument to that in part a., the number Y of 20 students that own a TI graphing calculator is a binomial random variable with n
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