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Blood Types The probability that a person in the United
Chapter 3, Problem 27E(choose chapter or problem)
The probability that a person in the United States has type B+ blood is 9%. Five unrelated people in the United States are selected at random. (Source: American Association of Blood Banks)
(a) Find the probability that all five have type B+ blood.
(b) Find the probability that none of the five have type B+ blood.
(c) Find the probability that at least one of the five has type B+ blood.
(d) Which of the events can be considered unusual? Explain.
Questions & Answers
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QUESTION:
The probability that a person in the United States has type B+ blood is 9%. Five unrelated people in the United States are selected at random. (Source: American Association of Blood Banks)
(a) Find the probability that all five have type B+ blood.
(b) Find the probability that none of the five have type B+ blood.
(c) Find the probability that at least one of the five has type B+ blood.
(d) Which of the events can be considered unusual? Explain.
ANSWER:
Step 1 of 4
(a)
The probability that a person in the U.S. has type B+ blood is 9%.
Five unrelated people in the U.S. are selected at random.
We are asked to find the probability that all five have type B+ blood.
Using independence rule of probability, we can write the probability that all five have type B+ blood,
\(P(\text { All five })=0.09 \times 0.09 \times 0.09 \times 0.09 \times 0.09=0.000006\)
[since the probability that a person in the U.S. has type B+ blood is 9% or 0.09]
Hence the probability is \(0.000006 \text {. }\)
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