4. (4pts) Decid e whether the following events are disjoint andomly selecting so

Question

4. (4pts) Decid e whether the following events are disjoint andomly selecting someone who owns a cat 2. Randomly selecting someone who owns a dog Are the events disjoint? a) Yes, because the events can occur at the same tim c) No, because the events can occur at the same time o, because the events cannot occur at the same time d) Yes, because the events cannot occur at the same time t drug screen ing shown below. If one of the subjects is randomly selected, wha test result is a false positive? (False positive means that the device tests on a person that is not a drug user) t is the probability that the positive Pre- Employment Drug Screening Results Positive test result Drug Use ls Indicated Negative test resut Drug Use Is Not Indicated 38 15 Subject Uses Drugs 23 47 Subject Is Not a Drug User P( false positive test result ) =

Explanation / Answer

Ans 4 : d) Yes, because the events cannot occur at the same time.

The probability of disjoint events occuring at the same time is 0. These events are also called as mutually exclusive events.

Since here two random selections cannot occur simultaneously at the same time , they are considered as disjoint events.

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