MATH 131 Midterm: MATH131 BOYLE-M SPRING2016 ALL-SECTION EXAM3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 131
• Professor: All

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2. (a)(6 points) suppose two events e and f are independent, with p (e) = What is p (e f )? (b)(6 points) suppose a random variable x has mean 3 and variance 8, and. Suppose two parents carry the gene but do not have the disease (so, there is a 0. 25 probability an o spring will develop the disease). A test for the disease is correct for 99% of those with the disease, and is correct for 98% of those without the disease. (a)(6 points) a random patient takes the test. What is the probability the test result is positive ( you have the disease )? (b)(6 points) assume a patient tests positive. Find an interval (a, b) such that a < x < b with probability approximately . 95 . (b)(4 points) suppose z is a random variable with distribution n (0, 1).