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Human blood may contain either or both of two antigens, A

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 18E Chapter 2.1

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 18E

Problem 18E

Human blood may contain either or both of two antigens, A and B. Blood that contains only the A antigen is called type A, blood that contains only the B antigen is called type B, blood that contains both antigens is called type AB, and blood that contains neither antigen is called type O. At a certain blood bank, 35% of the blood donors have type A blood, 10% have type B, and 5% have type AB.

a. What is the probability that a randomly chosen blood donor is type O?

b. A recipient with type A blood may safely receive blood from a donor whose blood does not contain the B antigen. What is the probability that a randomly chosen blood donor may donate to a recipient with type A blood?

Step-by-Step Solution:

Step 1 of 3:

It is given that the blood containing only the A antigen is called type A and probability of type A blood is 35%. That is P(A)=0.35.

Blood containing only the B antigen is called type B and probability of type B is 10%. That is P(B)=0.1.

Blood containing both A and B antigen is called type AB and probability of type AB is 5%.

That is
P( AB)=0.05.

Blood containing neither antigen is called type O.


Step 2 of 3

Chapter 2.1, Problem 18E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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Human blood may contain either or both of two antigens, A