When the health department tested private wells in a county for two impurities commonly

Chapter 3, Problem 3.1

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QUESTION:

When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B. (Obviously, some had both impurities.) If a well is randomly chosen from those in the county, find the probability distribution for Y , the number of impurities found in the well.

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QUESTION:

When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B. (Obviously, some had both impurities.) If a well is randomly chosen from those in the county, find the probability distribution for Y , the number of impurities found in the well.

ANSWER:

Step 1 of 4

  is defined to be the number of impurities found in the well. Define A to be the event that impurity A is found in the randomly selected well. Similarly, define  to be the event that impurity  is found in the randomly selected well.

Result to be used:- For two events  and

1.

2.

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