Problem 7. A DNA test is such that there is only a individual will match a certain blood sample. Suppose a population of 50,000 inmates is screened using this test. chance that a randomly selected 10,000 a. What is the expected number of matches? b. What is the probability that there will be at least one match? c. What is the probability that there will be at least two matches? d. What does this tell us about screening a population in this way in order to identify the perpetrator of a crime?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 7. A DNA test is such that there is only a
individual will match a certain blood sample. Suppose a population of 50,000 inmates is
screened using this test.
chance that a randomly selected
10,000
a. What is the expected number of matches?
b. What is the probability that there will be at least one match?
c. What is the probability that there will be at least two matches?
d. What does this tell us about screening a population in this way in order to identify
the perpetrator of a crime?
Transcribed Image Text:Problem 7. A DNA test is such that there is only a individual will match a certain blood sample. Suppose a population of 50,000 inmates is screened using this test. chance that a randomly selected 10,000 a. What is the expected number of matches? b. What is the probability that there will be at least one match? c. What is the probability that there will be at least two matches? d. What does this tell us about screening a population in this way in order to identify the perpetrator of a crime?
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