22 The number of permutations of 5 items taken 3 at a time

22. The number of permutations of 5 items taken 3 at a time = __________.

A. 20

B. 15

C. 10

D. 60

23. What does it mean if two events (A and B) are “mutually exclusive”?

A. One does not influence the other

B. P(A and B) = P(A) + P(B) – P(A or B)

C. They must occur together

D. They cannot occur simultaneously

24. In finding the areas under the normal curve, if we wish to determine the area between A and B, and both A and B are greater than the mean (with A further away from the mean than B), we ?

A) we find the area below A using the positive Z table, and the area below B using the positive Z table, and add the two areas together.

B) we find the area below A using the positive Z table, and the area below B using the positive Z table, and subtract the area below A from the area below B.

C) we find the area below A using the positive Z table, and the area below B using the positive Z table, and subtract the area below B from the area below A.

D) we find the area below B using the negative Z table, and the area below A using the positive Z table, and subtract the area below B from the area below A.

QUESTION 25

25. In finding the areas under the normal curve, if we wish to determine the area above A, and A is greater than the mean, we?

A) we find the area below A on the positive Z table and subtract it from .5000.

B) we find the area below A on the positive Z table and subtract it from 1.000.

C) the positive Z table gives us the area above A

D) we find the area below A on the negative Z table

26. In finding the areas under the normal curve, if we wish to determine the area below A, and A is greater than the mean, we ?

A) we find the area below A on the positive Z table and subtract it from .5000.

B) we find the area below A on the positive Z table and subtract it from 1.000.

C) the positive Z table gives us the area belowA

D) we find the area below A on the negative Z table

Solution

22.

As nPr = n!/(n -r)!

Then

5P3 = 5!/2! = 60 [OPTION D]

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23.

By definition,

OPTION D: D. They cannot occur simultaneously. [ANSWER]

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24.

As both A and B are above the mean, then they have positive z scores, so we use the positive z score table.

Then, we SUBTRACT their areas. We subtract the area of B from A as A is farther away from the mean, hence, greater area.

Thus, OPTION C: C) we find the area below A using the positive Z table, and the area below B using the positive Z table, and subtract the area below B from the area below A. [answer]

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