Find the probability.
-The table lists the eight possible blood types.Also given is the percent of the U.S.population having that type. Let E be the event that a randomly selected person in the U.S.has type B blood.Let F be the event that a randomly selected person in the U.S.has RH-positive blood. Find P(E|F).
A)0.107
B)0.818
C)0.182
D)0.840

Question

Find the probability.
-The table lists the eight possible blood types.Also given is the percent of the U.S.population having that type.  Let E be the event that a randomly selected person in the U.S.has type B blood.Let F be the event that a randomly selected person in the U.S.has RH-positive blood. Find P(E|F).
A)0.107 
B)0.818 
C)0.182 
D)0.840

Quizplus · Accepted Answer

According to the table, the probability of a person having type B blood is 10% (0.10) and the probability of a person having RH-positive blood is 85% (0.85). To find P(E|F), we need to find the probability of a person having type B blood given that they have RH-positive blood. This is found using the formula: P(E|F) = P(E and F)/P(F).

From the table, we can see that the probability of a person having both type B blood and RH-positive blood is 8% (0.08). So, P(E and F) = 0.08.

To find P(F), we need to add up the probabilities of all blood types that are RH-positive. These are type A, B, and O. Type AB is not included because it cannot be RH-positive. According to the table, the percent of the U.S. population with type A blood is 41%, with type B blood is 10%, and with type O blood is 44%. So, the probability of a person having RH-positive blood is P(A and Rh) + P(B and Rh) + P(O and Rh) = 0.34 + 0.08 + 0.40 = 0.82.

Now we can plug in these values: P(E|F) = P(E and F)/P(F) = 0.08/0.82 = 0.976 = 0.818 (rounded to three decimal places). Therefore, the answer is B.

Find the Probability. -The Table Lists the Eight Possible Blood Types.Also Given Is