Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.43 0.14 0.03 0.40 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)

Question

Jerimiah Hunt

Mathematics

4 October, 20:24

Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.43 0.14 0.03 0.40 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)

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Escobar · Answer 1

a) 0.1600

b) 0.3654

Step-by-step explanation:

a) The samples are independents, so:

P (O1∩O2) = P (O1). P (O2) = 0.40*0.40=0.1600

b) P (A1∩A2) + P (B1∩B2) + P (AB1∩AB2) + P (O1∩O2) =

P (A1). P (A2) + P (B1). P (B2) + P (AB1). P (AB2) + P (O1). P (O2) =

0.43^2+0.14^2+0.03^2+0.4^2=0.3654