A B AB O 0.40 0.11 0.04 0.45 (a) What is the probability that both phenotypes are O? (b) What is the probability that the phenotypes pf two randomly selected individuals match?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 65E
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(Devore: Section 2.5 #74) The proportions of blood phenotypes in the U.S. population are shown
in the table. Assuming that the phenotypes of two randomly selected individuals are independent
of one another.
A
0.40
B AB O
0.11 0.04 0.45
(a) What is the probability that both phenotypes are O?
(b) What is the probability that the phenotypes pf two randomly selected individuals match?
Transcribed Image Text:(Devore: Section 2.5 #74) The proportions of blood phenotypes in the U.S. population are shown in the table. Assuming that the phenotypes of two randomly selected individuals are independent of one another. A 0.40 B AB O 0.11 0.04 0.45 (a) What is the probability that both phenotypes are O? (b) What is the probability that the phenotypes pf two randomly selected individuals match?
Expert Solution
Step 1

Probability that an individual has A phenotype =0.40

Probability that an individual has B phenotype =0.11

Probability that an individual has AB phenotype = 0.04

Probability that an individual has O phenotype =0.45

 

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