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.

Question

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.

Accepted Answer

Here use basics of probability concept