AndersonB_Sec2_HW2

AndersonB_Sec2_HW2 - Biological Statistics I Biometry 3010 Natural Resources 3130 Statistical Science 2200 Homework 2(25 points total Name Beverly

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Biological Statistics I Biometry 3010 / Natural Resources 3130 / Statistical Science 2200 Homework 2 (25 points total) Name: Beverly Anderson Section: Lab Section 2 Date: 9 September 2010 Objectives: i. To demonstrate an understanding of basic probability concepts. ii. To straightforwardly characterize a sequence of probabilistic event. 1. (3 points) 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 the same cola has actually been put into all three glasses. a. What are the simple events in this ranking experiment and what probability would you assign to each one? A simple event is an event that consists of one possible outcome. These events are tasting each cup (3 tastes total) and then ranking the three glasses. There is a 100% probability that the individual will taste all three cups and then rank them. b. What is the probability that C is ranked first? The probability that C is ranked first is 1/3. c. What is the probability that C is ranked first and D is ranked last? (1/3)*(1/2)= 1/6 probability that C is ranked first and D is last. 2. (4 points) Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.42 0.10 0.04 0.44 a. Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (.44)*(.44)= .1936 probability that both phenotypes are O b. What is the probability that the phenotypes of two randomly selected individuals match? (.42)*(.42)+(.1)*(.1)+(.04)*(.04)+(.44)*(.44)= .3816 probability that the phenotypes of two random individuals match c. What is the probability that the phenotype is A given that you already know that this individual is of type A, B, or AB but not O.

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P(A|A,B,AB)= P(A intersection A,B,AB)/P(A,B,AB) =(.42)/(.42+.1+.04) = .75 probability that the phenotype is A given that the individual is not O d. If we define the set S={A, B, AB}, complete the following formula:
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This note was uploaded on 10/18/2010 for the course MATH 2070 taught by Professor Disalvo during the Fall '10 term at West Chester.

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AndersonB_Sec2_HW2 - Biological Statistics I Biometry 3010 Natural Resources 3130 Statistical Science 2200 Homework 2(25 points total Name Beverly

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