Suppose that for a certain experiment P(A ) = .33 and P(B) = .29. If A and B are mutually exclusive events, find P(A B).
A) .31 B) .03 C) .62 D) .38
Q. 2If events A and B are not mutually exclusive, then it is possible that P(A ) + P(B) > 1.
A) True B) False
Solve the problem.
Q. 3If two events, A and B, are mutually exclusive, then P(A and B) = P(A ) P(B).
A) True B) False
Q. 4Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores for a physics class had a mean of 69 with a standard deviation of 3.7. One student earned a 59 on the history test and a 98 on the physics test.
Calculate the z-score for each test. On which test did the student perform better?
Q. 5The table shows the number of each Ford car sold in the United States in June. Suppose the sales record for one of these cars is randomly selected and the type of car is identified.
Type of Car Number
Sedan 7,204
Convertible 9,089
Wagon 20,418
SUV 13,691
Van 15,837
Hatchback 15,350
Total 81,589
Events A and B are defined as follows.
A: Convertible, SUV, Van
B: Fewer than 10,000 of the type of car were sold in June
Is P(A B) equal to the sum of P(A ) and P(B)? Explain.
Q. 6Find the z-score for the value 83, when the mean is 52 and the standard deviation is 6.
A) z = 1.48 B) z = 5.00 C) z = 5.17 D) z = -1.48
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