(h) (2 points) Refer to the table which summarizes the results of testing for a
ID: 3359673 • Letter: #
Question
(h) (2 points) Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease Subject doesn't have the disease 83 26 153 If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? Round the probability to three decimal places. What does this probability suggest about the accuracy of the test? A. 0.030; The probability of this error is low( 0.05) so the test is fairly accurate. B. 0.096; The probability of this error is high ( 0.05) so the test is not very accurate 0.145; The probability of this error is high ( 0.05) so the test is not very accurate. D. 0.404; The probability of this error is high (0.05) so the test is not very accurate. (i) (2 points) A red die and a green die are rolled. Define events A be the red die shows6' and B be the green die shows an odd value. Select the statement below that best describes the relationship between events A and B A. Events A and B are independent and mutually exclusive. B. Events A and B are independent and are not mutually exclusive. C. Events A and B are not independent but are mutually exclusive. D. Events A and B are not independent and are not mutually exclusive. E. Cannot be determined based on the information given.Explanation / Answer
Solution :
H)
Probability of false positive=P(false positive)=26/270 =0.09629>0.05 So the test is not very acurate.
Answer is B.
I)Answer is B
If the two events are mutually exclusive it means that if one is true then the other must not be true ,that means mutually exclusie events cannot happen at the same time but In the question there is a possibility of events occur at the same time.So Event A and Event B are not mutually exclusive.
Events are independent if the occurrence of one event does not influence the occurrence of the others.This means mutually exclusive events are not independent and independent events cannot be mutually exclusive.
Therefore Event A and Event B are independent and are not mutually exclusive events.
positive test result negetive test result Subject has the disease 83 8 91 Subject doesn't have the disease 26 153 179 109 161 270Related Questions
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