Farm-grown fish are becoming very popular in supermarkets because of their lower cost relative to fish caught in rivers or oceans. One concern that is being closely monitored is the level of carcinogens in farm-grown fish from insecticides used on the farms. The mean "safe level" concentration for farm-grown salmon set by the Environmental Protection Agency for a carcinogen called mirex is 0.08 ppm. It is also known that 10% of the farms in a particular region will fail EPA tests for acceptable levels of mirex in farm-grown salmon. Show your work for the following questions. 1. In its enforcement of acceptable levels of mirex in farm-grown salmon, suppose the EPA tests the mirex concentrations in salmon at five farms. What is the probability that four farms will fail the test? Keep five decimal places. 2. What is the probability that four or more farms will fail the test? Keep five decimal places. 3. What is the probability that at least one farm will fail the test? Keep three decimal places. 4. What is the probability that all farms pass the test? Keep three decimal places. 5. Now suppose the EPA tests the mirex concentrations in salmon at 50 farms every year. How many farms can be expected to fail the test on average?

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Farm-grown fish are becoming very popular in supermarkets because of their lower cost relative to fish caught in rivers or oceans. One concern that is being closely monitored is
the level of carcinogens in farm-grown fish from insecticides used on the farms. The mean "safe level" concentration for farm-grown salmon set by the Environmental Protection
Agency for a carcinogen called mirex is 0.08 ppm. It is also known that 10% of the farms in a particular region will fail EPA tests for acceptable levels of mirex in farm-grown
salmon. Show your work for the following questions.
1. In its enforcement of acceptable levels of mirex in farm-grown salmon, suppose the EPA tests the mirex concentrations in salmon at five farms. What is the probability that
four farms will fail the test? Keep five decimal places.
2. What is the probability that four or more farms will fail the test? Keep five decimal places.
3. What is the probability that at least one farm will fail the test? Keep three decimal places.
4. What is the probability that all farms pass the test? Keep three decimal places.
5. Now suppose the EPA tests the mirex concentrations in salmon at 50 farms every year. How many farms can be expected to fail the test on average?
Transcribed Image Text:Farm-grown fish are becoming very popular in supermarkets because of their lower cost relative to fish caught in rivers or oceans. One concern that is being closely monitored is the level of carcinogens in farm-grown fish from insecticides used on the farms. The mean "safe level" concentration for farm-grown salmon set by the Environmental Protection Agency for a carcinogen called mirex is 0.08 ppm. It is also known that 10% of the farms in a particular region will fail EPA tests for acceptable levels of mirex in farm-grown salmon. Show your work for the following questions. 1. In its enforcement of acceptable levels of mirex in farm-grown salmon, suppose the EPA tests the mirex concentrations in salmon at five farms. What is the probability that four farms will fail the test? Keep five decimal places. 2. What is the probability that four or more farms will fail the test? Keep five decimal places. 3. What is the probability that at least one farm will fail the test? Keep three decimal places. 4. What is the probability that all farms pass the test? Keep three decimal places. 5. Now suppose the EPA tests the mirex concentrations in salmon at 50 farms every year. How many farms can be expected to fail the test on average?
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