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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
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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