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Unformatted text preview: MATH 1131 3.00 A S1 Assignment 2 Question 1: The following two relationships together for any two events A and B are called De Morgans laws: ( A B ) c = A c B c ( A B ) c = A c B c . Convince yourself of the truth of these two laws by expressing in words the stated relationships. Question 2: An individual is presented with three different glasses of cola, labeled C,D, and P. He is asked to taste all three and then list them in order of preference. Suppose that the same cola has actually been put into all three glasses. (a) Give an appropriate sample space for this experiment. (b) What probability would you assign to each outcome? (c) What is the probability that C is ranked first? (d) What is the probability that C is ranked first and D is ranked last? Question 3: With respect to a mass screening of schoolchildren for tu- berculosis (TB), the proportion of all tested kindergartners who were found to have TB was .0006. The corresponding proportion for all tested kinder-to have TB was ....
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