1) Consider the following distribution of blood types in the U.S Blood type perc
ID: 3049727 • Letter: 1
Question
1) Consider the following distribution of blood types in the U.S Blood type percent 40 45 AB a) What percent of the U.S. population have type AB? b) What percent of the U.S. population does not have Type B blood? c) If one donor is randomly selected, what is the probability that the person has type A or B? d) If one donor is randomly selected, what is the probability that the person has type AB and type B? e) If you examine two people, what is the probability that the first person is Type A and the second person is not Type O? f) Among three potential donors, what is the probability that all three have Type A blood? Among three potential donors, what is the probability that at least one person has type A blood? Show your work g)Explanation / Answer
1) Total sum of al percent must be equal to 100%
a) 40 + 11 + 45 + Percent of AB = 100
or, Percent of AB = 100 - 96
or, Percent of AB = 4%
b) Percent of population who does not have type B blood = 100 - Percent of population who have type B blood
= 100 - 11
= 89%
c) P(type A or B) = P(type A) + P(type B)
= 0.4 + 0.11
= 0.51
d) P(type AB and type B) = 0
e) P(first person is type A and second person is not type O) = P(first person is type A) * (1 - P(second person is type O))
= 0.4 * (1 - 0.45)
= 0.22
f) P(all three have type A blood) = P(type A blood)3 = 0.43 = 0.064
g) P(at least one has type A blood) = 1 - P(no one have type A blood) = 1 - (1-0.4)3 = 0.784
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