(10 points) Answer the following questions: (a) (5 points) An animal shelter has
ID: 3369020 • Letter: #
Question
(10 points) Answer the following questions: (a) (5 points) An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, live to be 7 years or older. Of the puppies who are adopted, 80% live to be 7 years or older. What is probability that a randomly selected puppy in the shelter will get adopted and live 7 or more years Answer: The probability is (b) (5 points) The probability that a can of paint contains contamination is 3.23%. The probability of a What is the probability that a randomly selected mixing error is 24%, the probability of both is 1.03%. can has contamination or a mixing error? Answer The probability isExplanation / Answer
Solution:
( a )
probability of adoption = 0.65
probability of an adopted puppy live more than 7 years = 0.80
probability that the puppy is adopted and live more than 7 years = 0.65 *0.80 = 0.52
( b )
probability of paint contamination = 3.23% = 0.0323
probability of mixing error = 2.4% = 0.024
probability of both = 1.03% = 0.0103
Probability of paint contamination or mixing error = 0.0323 + 0.024 - 0.0103
= 0.046
= 4.6%
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