1.Human blood is classified by the presence or absence of three main antigens (A
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Question
1.Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.
The following table gives the percent of a country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or , respectively.
(a) What is the probability that a person selected at random from the population has a blood type that is type AB given that the person is Rh+? (Round your answer to two decimal places.)
(b) What is the probability that a person selected at random from the population has a blood type that is Rhgiven that the person is type O? (Round your answer to two decimal places.)
2.A tax specialist has estimated that the probability that a tax return selected at random will be audited is 0.04. Furthermore, he estimates the probability that an audited return will result in additional assessments being levied on the taxpayer is 0.30. What is the probability that a tax return selected at random will result in additional assessments being levied on the taxpayer?
3.The accompanying data were obtained from the financial aid office of a certain university.
Let A be the event that a student selected at random from this university is an undergraduate student, and let B be the event that a student selected at random is receiving financial aid.
(a) Find each of the following probabilities. (Round your answers to three decimal places.)
2.A coin is tossed three times.
(a) What is the probability that the coin will land tails at least twice?
(b) What is the probability that the coin will land tails on the second toss, given that tails were thrown on the first toss?
(c) What is the probability that the coin will land heads on the third toss, given that tails were thrown on the first toss?
3.According to a survey conducted in a certain year by the Federal Communications Commission (FCC) of 3005 adults who were home broadband users, 33.5% of those surveyed had switched their service over the past 3 years. Of those who had switched service in the past 3 years, 53% were very satisfied, 37% were somewhat satisfied, and 10% were not satisfied with their service. Of the 66.5% who had not switched service in the past 3 years, 48% were very satisfied, 41% were somewhat satisfied, and 11% were not satisfied with their service.
(a) What is the probability that a participant chosen at random had not switched service in the past 3 years and was very satisfied with their service?
(b) What is the probability that a participant chosen at random was not satisfied with their service?
Explanation / Answer
1. a) P(Blood group AB | Person is RH+)
= 3.4 / (35.9 + 8.5 + 3.4 + 37.4)
= 0.04
b) P(Blood group Rh- | Type O)
= 6.6 / (6.6 + 37.4)
= 0.15
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