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Unformatted text preview: STAT4101 Homework 2 due September 19, 2007 1. Determine if the following probability assignments are allowed. If not, explain why. (a) P ( A ) = 0 . 5, P ( B ) =- . 1, P ( A B ) = 0 . 4. (b) P ( A ) = 0 . 5, P ( B ) = 0 . 6, P ( A B ) = 0. (c) P ( A ) = 0 . 5, P ( B ) = 0 . 6, P ( A B ) 6 = 0. 2. (from 2.8) The proportions of blood genotypes, A, B, AB, and O in the population of all Caucasians in the US are approximately 0.41, 0.10, 0.04, and 0.45, respectively. A single Caucasian is chosen at random from the population, and their blood type recorded. (a) List the sample space for this experiment. (b) Assign probabilities to each of the simple events using the information given. (c) What is the probability that the person has either they A or type AB blood? 3. (from 2.12) A survey classified a large number of adults according to whether they were diagnosed as needing eyeglasses to correct their reading vision and whether they use eyeglasses when reading. The proportions falling into the four resulting categories are given in the table. Uses Glasses for Reading Needs Glasses Yes No Yes .44 .14 No .02 .4 A single adult is selected from the large group. Let N be the event that this adult needs glasses, and R be the event that this adult uses glass for reading....
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