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# Basics of Probability Practice Test

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By — McGraw-Hill Professional
Updated on Aug 26, 2011

Review the following concepts if necessary:

## Basics of Probability Practice Test

A good score is 8 correct.

1. Empirical probability is based on
1. observation or experimentation
2. theoretical models only
3. continuous outcomes
4. standard deviations
2. Imagine a perfectly balanced spinning wheel, in which the likelihood of the pointer coming to rest within any particular range of directions (shaped like a thin slice of pie) is the same as the likelihood of its coming to rest within any other range of equal size. If the direction in which the pointer comes to rest, measured in degrees of the compass (clockwise from true north), is the random variable, the density function that represents the behavior of this wheel can be described as
1. a discrete distribution
2. a normal distribution
3. a uniform distribution
4. none of the above
3. What is the number of possible permutations of 7 objects taken 3 at a time?
1. 10
2. 21
3. 35
4. 210
4. The difference between permutations and combinations lies in the fact that
1. permutations take order into account, but combinations do not
2. combinations take order into account, but permutations do not
3. combinations involve only continuous variables, but permutations involve only discrete variables
4. permutations involve only continuous variables, but combinations involve only discrete variables
5. The result of an event is called
1. an experiment
2. a trial
3. an outcome
4. a variable
6. Suppose some means is devised that quantitatively describes the political views of people on a continuum from ''liberal'' to ''conservative,'' where the most ''liberal'' possible views are represented by a value of –50 (the extreme left end of the scale) and the most ''conservative'' possible views are represented by a value of +50 (the extreme right end of the scale). Suppose a density function is graphed and it is discovered, not surprisingly, that most people tend to fall near the ''middle'' and that the curve is bell-shaped. This represents
1. a discrete distribution
2. a normal distribution
3. a uniform distribution
4. none of the above
7. The set of all possible outcomes during the course of an experiment is called
1. a dependent variable
2. a random variable
3. a discrete variable
4. a sample space
8. What is the mathematical probability that a coin, tossed 10 times in a row, will come up ''tails'' on all 10 tosses?
1. 1
2. 1/10
3. 1/1024
4. 1/4096
9. Two outcomes are mutually exclusive if and only if
1. they are nondisjoint
2. they have no elements in common
3. they have at least one element in common
4. they have identical sets of outcomes
10. The probability, expressed as a percentage, of a particular occurrence can never be
1. less than 100
2. less than 0
3. greater than 1
4. anything but a whole number

### Answers

1. a
2. c
3. d
4. a
5. c
6. b
7. d
8. c
9. b
10. b
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