Assign 5 - Math 151, Spring 2011 Jo Hardin, HW #4 Homework...

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Math 151, Spring 2011 Jo Hardin, HW #4 Homework due on Thursday, February, 10th, start of class. 1. DeGroot (3 rd or 4 th ed.), section 2.1: # 6, 8, 16 2.1 # 16: Consider again the shopper described in Exercise 4. On each purchase, the probability that he will choose the same brand of toothpaste that he chose on his preceding purchase is 1/3, and the probability that he will switch brands is 2/3. Suppose that on his first purchase the probability that he will choose brand A is 1/4 and the probability that he will choose brand B is 3/4. What is the probability that his second purchase will be brand B? 2. DeGroot (3 rd or 4 th ed.), section 2.2: # 13, 14, 15, 16 3. DeGroot ( 4 th ed.), section 2.3: # 6, 12, 15 (3 rd ed., section 2.3: # 10, 16, 19) 4. Additional problem in R: Even more Hardy-Weinberg equilibrium # Three genotypes: P ( AA ) = p = PAA,P ( Aa ) = 2 * q = PAa,P ( aa ) = r = Paa ; # Note that r = 1 - p - 2 * q calcnextgen = function(PAA, PAa, Paa, u=1, v=1, w=1) { PAA2 = u*(PAA*PAA*1 + PAA*PAa*.5 + PAa*PAA*.5 + PAa*PAa*.25)
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Assign 5 - Math 151, Spring 2011 Jo Hardin, HW #4 Homework...

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