STAT 400 Final: STAT400 BOYLE-M FALL2003 0101 FINAL EXAM

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Now suppose the test is used on a population of (largely innocent) people, for which the probability of lying on the test is . 01. Given that the polygraph test concludes a person from this population is lying, what is the probability this person is lying: a child of two carriers of a certain recessive disease will with probability . 25 have the disease. Suppose two carriers plan to have ve children together. (a) (5 points) what is the probability at least one of their children will have the disease? (b) (20 points) suppose 100 such carrier couples each have ve children. Suppose you have two of these bulbs for a lamp, and replace the rst with the second as soon as the rst burns out. There are more problems on the back side of this page. Typeset by ams-tex: (25 points) during prime time hours, erin receives telephone calls at an average rate of 6 calls per hour.