A population of 80 rats is tested for 4 genetic mutations after exposure to some chemicals: mutation A, mutation B, mutation C, and mutation D. 43 rats tested positive for mutation A. 37 rats tested positive for mutation B. 39 rats tested positive for mutation C. 35 rats tested positive for mutation D. One rat tested positive for all fo mutations. 5 rats tested positive for mutations A, B, and C. 4 rats tested positive f mutations A, B, and D. 6 rats tested positive for mutations A C and D 3 rats torto
A population of 80 rats is tested for 4 genetic mutations after exposure to some chemicals: mutation A, mutation B, mutation C, and mutation D. 43 rats tested positive for mutation A. 37 rats tested positive for mutation B. 39 rats tested positive for mutation C. 35 rats tested positive for mutation D. One rat tested positive for all fo mutations. 5 rats tested positive for mutations A, B, and C. 4 rats tested positive f mutations A, B, and D. 6 rats tested positive for mutations A C and D 3 rats torto
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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![A population of 80 rats is tested for 4 genetic mutations after exposure to some
chemicals: mutation A, mutation B, mutation C, and mutation D. 43 rats tested
positive
for mutation A. 37 rats tested positive for mutation B.39 rats tested positive for
mutation C. 35 rats tested positive for mutation D. One rat tested positive for all four
mutations. 5 rats tested positive for mutations A, B, and C. 4 rats tested positive for
mutations A, B, and D. 6 rats tested positive for mutations A, C, and D.3 rats tested
positive for mutations B, C, and D. 64 rats tested positive for mutations A or B. 63
rats tested positive for mutations A or C. 59 rats tested positive for mutations A or D.
58 rats tested positive for mutations B or C. 59 rats tested positive for mutations B
or D. 60 tested positive for mutations C or D. 8 rats did not show any evidence of
genetic mutation.
What is the probability that if 5 rats are selected at random, 3 will have exactly 2
genetic mutations?
Round your answer to five decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3e2e4d4-16e3-43c1-b766-75b9d872ced1%2F913f9d2e-3f70-4963-9010-2b214c9c47fd%2Fu6ah3zr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A population of 80 rats is tested for 4 genetic mutations after exposure to some
chemicals: mutation A, mutation B, mutation C, and mutation D. 43 rats tested
positive
for mutation A. 37 rats tested positive for mutation B.39 rats tested positive for
mutation C. 35 rats tested positive for mutation D. One rat tested positive for all four
mutations. 5 rats tested positive for mutations A, B, and C. 4 rats tested positive for
mutations A, B, and D. 6 rats tested positive for mutations A, C, and D.3 rats tested
positive for mutations B, C, and D. 64 rats tested positive for mutations A or B. 63
rats tested positive for mutations A or C. 59 rats tested positive for mutations A or D.
58 rats tested positive for mutations B or C. 59 rats tested positive for mutations B
or D. 60 tested positive for mutations C or D. 8 rats did not show any evidence of
genetic mutation.
What is the probability that if 5 rats are selected at random, 3 will have exactly 2
genetic mutations?
Round your answer to five decimal places.
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