The population of a particular country consists of three eth- nic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations. Blood Group 0 A B AB 1 .082 .106 .008 .004 Ethnic Group 2 .135 .141 .018 .006 3 215 200 .065 .020 Suppose that an individual is randomly selected from the population, and define events by A = {type A selected}, B = {type B selected}, and C = {ethnic group 3 selected}. a. Calculate P(A), P(C), and P(AC). b. Calculate both P(A|C) and P(C|A), and explain in con- text what each of these probabilities represents. c. If the selected individual does not have type B blood, what is the probability that he or she is from ethnic group 1?

The population of a particular country consists of three eth- nic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations. Blood Group 0 A B AB 1 .082 .106 .008 .004 Ethnic Group 2 .135 .141 .018 .006 3 215 200 .065 .020 Suppose that an individual is randomly selected from the population, and define events by A = {type A selected}, B = {type B selected}, and C = {ethnic group 3 selected}. a. Calculate P(A), P(C), and P(AC). b. Calculate both P(A|C) and P(C|A), and explain in con- text what each of these probabilities represents. c. If the selected individual does not have type B blood, what is the probability that he or she is from ethnic group 1?

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

See similar textbooks