MTH 453-01: Quizs 2 September 27, 2017 Your NameOia Slan 0+1 .ca 04 1. The distr

Question

MTH 453-01: Quizs 2 September 27, 2017 Your NameOia Slan 0+1 .ca 04 1. The distribution ofblood types in the United States is roughly 41S type A, 9% type B, 4% type AB, and 46%type O. An individual is brought into an emergency room and is said to be blood-typed. What is the probability that the type will be A, B, or AB? .Uy r0ul ,00.04 b.13 2. Experience shows that 25% of all complaints about home telephone lines involve static on the line. Eifty percent involve line deterioration. Thirty-five percent involve only line deterioration. What is the probability that a randomly selected compliant will involve both? Will involve neither problem?

Explanation / Answer

1. P(A)=0.41, P(B)=0.09 , P(AB)=0.04, P(O)=0.46

P(A or B or AB)=P(A)+P(B)+P(AB)=0.41+0.09+0.04=0.54

2. P(static)=0.25

P(deterioration)=0.5

P(deterioration and not static)=0.35

P(both)=P(deterioration)-P(deterioration and not static)=0.5-0.35=0.15

P(neither)=1-P(deterioration or static)=1-[P(deterioration and not static)+P(static)]=1-(0.35+025)=0.4

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