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Exam01-Key

# Exam01-Key - Genetics 320(EEB/MCB TEST ONE NAME KEY WRITE...

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Genetics 320 (EEB/MCB) TEST ONE NAME:_____ KEY __________ WRITE YOUR NAME AT THE TOP OF EACH PAGE!! SHOW ALL WORK!! (1) [15 points ] Scientists studying pond scum at ASU have found an organism with four sexes. Suppose the parents are AAAa, AAaa, AAAA, and Aaaa. (a) What is the probability of getting an AAAA offspring? This can only occur one way, namely all parents contribute A. (3/4)(1/2)(1)(1/4) = 3/32 (b) What is the probability of getting an AAAa offspring? Four pathways: "a" for parent one (P1), or from P2, or from P3 or from P4, A from all others in each case P(a P1, A others) = (1/4)(1/2)(1)(1/4) =1/32 P(a P2, A others) = (3/4)(1/2)(1)(1/4) =3/32 P(a P3, A others) = 0 P(a P4, A others) = (3/4)(1/2)(1)(3/4) =9/32 hence Prob (AAAa) = (1+3+9)/16 = 13/32 (c) Given that the offspring is AAAa, what is the chance that Parent four contributed the a allele? P(P4 gives a | AAAa offspring) = P(P4 gives a & AAAa offspring) /P(AAAa offspring) = ( 9/32 )/ (13/32) = 9/13 (2) [5 points ] Recall the ABO blood group locus. Suppose we examine 10 offspring from a cross of Ai and Bi. What is the probability that only A and AB offspring are recovered?

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