(Devore: Section 2.5 #74) The proportions of blood phenotypes in the U.S. population are shownin the table. Assuming that the phenotypes of two randomly selected individuals are independentof one another.A0.40B AB O0.11 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?

Answered: A B AB O 0.40 0.11 0.04 0.45 (a) What…

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

(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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