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There are four major types of​ blood: A,​ B, AB, and O. Suppose 42​% of a certain population has Type​ A, 9​% Type​ B, 6​% Type​ AB, and 43 % Type O blood. The blood type of a randomly selected person from this population is determined as part of an experiment. Complete parts a through b.

There are four major types of​ blood: A,​ B, AB, and O. Suppose 42​% of a certain population has Type​ A, 9​% Type​ B, 6​% Type​ AB, and 43 % Type O blood. The blood type of a randomly selected person from this population is determined as part of an experiment. Complete parts a through b.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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There are four major types of​ blood: A,​ B, AB, and O. Suppose 42​% of a certain population has Type​ A, 9​% Type​ B, 6​% Type​ AB, and 43 % Type O blood. The blood type of a randomly selected person from this population is determined as part of an experiment. Complete parts a through b.
 
a. List the probabilities for each outcome in the sample space. Are they equally​ likely?
 
Select the correct choice below and fill in the answer​ box(es) to complete your choice.
​(Type integers or decimals. Do not​ round.)
 
A. Each outcome is equally​ likely; P(A)=​P(B)=​P(O)=enter your response here
 
B. Each outcome is equally​ likely; ​P(AB)=​P(AO)=​P(BO)= P(ABO)=enter your response here
 
C. Each outcome is not equally​ likely; P(AB)=enter your response here​, ​P(AO)=enter your response here​, ​P(BO)=enter your response here​, and ​P(ABO)=enter your response here
 
D. Each outcome is not equally​ likely; ​P(AB)=enter your response here​, ​P(O)=enter your response here​, and ​P(ABO)=enter your response here
 
E. Each outcome is not equally​ likely; P(A)=enter your response here​, ​P(B)=enter your response here​, and ​P(O)=enter your response here
 
F. Each outcome is equally​ likely; ​P(A)=​P(B)=​P(AB)=​P(O)=enter your response here
 
G. Each outcome is equally​ likely; ​P(AB)=​P(O)=​P(ABO)=enter your response here
 
H. Each outcome is not equally​ likely; ​P(A)=enter your response here​, ​P(B)=enter your response here​, ​P(AB)=enter your response here​, and P(O)=enter your response here
 
b. Check that the probabilities for the outcomes in the sample space are​ (i) between 0 and 1 and​ (ii) sum to 1.
 
​(i) Are the probabilities for the outcomes in the sample space between 0 and​ 1? Select all that apply.
A.​ No, because​ P(BO) is greater than 1.
B. ​No, because​ P(A) is greater than 1.
C. No, because​ P(AB) is less than 1.
D. ​No, because​ P(AO) is less than 1.
E. No, because​ P(ABO) is less than 1.
F. ​No, because​ P(A) is less than 1.
G. ​No, because​ P(O) is less than 1.
H. ​No, because​ P(B) is greater than 1.
I. No, because​ P(AB) is greater than 1.
J. ​No, because​ P(BO) is less than 1.
K. No, because​ P(ABO) is greater than 1.
L. No, because​ P(B) is less than 1.
M. No, because​ P(O) is greater than 1.
N. ​No, because​ P(AO) is greater than 1.
O. ​Yes, because each of the probabilities are between 0 and 1.
 
​(ii) Are the probabilities for the outcomes in the sample space sum to​ 1?
Select the correct choice and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
A. No, because P(AB)+​P(AO)+​P(BO)+​P(ABO)=enter your response here.
 
B. Yes, because P(A)+​P(B)+​P(O)=enter your response here.
 
C. Yes, because ​P(AB)+​P(O)+​P(ABO)=enter your response here.
 
D. ​No, because P(A)+​P(B)+​P(O)=enter your response here.
 
E. ​Yes, because ​P(AB)+​P(AO)+​P(BO)+​P(ABO)=enter your response here.
 
F. ​Yes, because ​P(A)+​P(B)+​P(AB)+​P(O)=enter your response here.
 
G. ​No, because ​P(AB)+​P(O)+​P(ABO)=enter your response here.
 
H. ​No, because ​P(A)+​P(B)+​P(AB)+​P(O)=enter your response here.
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