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| 1.
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The _______________ describes the number of occurrences of an event over a specified interval of time or space. |
| | A) | Binomial random variable |
| | B) | Poisson random variable |
| | C) | Discrete random variable |
| | D) | Continuous random variable |
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| 2.
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The expected value of a discrete random variable is: |
| | A) | Σx p(x) |
| | B) | n ·p ·q |
| | C) | Σ(x - µx)2 p(x) |
| | D) | σ / µ |
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| 3.
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In the rare event approach to making a statistical inference, if the probability of an observed sample result under a given assumption is ________, then we have _______ that the assumption is false. |
| | A) | large, strong evidence |
| | B) | large, little evidence |
| | C) | small, strong evidence |
| | D) | small, little evidence |
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| 4.
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The mean of the binomial distribution is equal to |
| | A) | p. |
| | B) | (n) (p). |
| | C) | px(1-p)n-x |
| | D) | (n)(p)(1-p) |
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| 5.
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Which of the following is a valid probability value for a discrete random variable? |
| | A) | .2 |
| | B) | 1.01 |
| | C) | -.7 |
| | D) | All of the above. |
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| 6.
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Which one of the following is not an assumption of the binomial distribution? |
| | A) | Each trial results in “success” or “failure.” |
| | B) | The experiment consists of n identical trials. |
| | C) | The probability of success changes from trial to trial. |
| | D) | Trials are independent of each other. |
| | E) | Each trial results in one of two mutually exclusive outcomes. |
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| 7.
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Two characteristics/assumptions of the Poisson distribution include |
| | A) | probability of success remains constant from trial to trial and the random variable of interest is continuous. |
| | B) | the event occurring in one interval is independent of the event occurring in any other nonoverlapping interval, and the random variable of interest is continuous. |
| | C) | the event occurring in one interval is independent of the event occurring in any other nonoverlapping interval, and the random variable of interest is discrete. |
| | D) | the event occurring in one interval is dependent on the event occurring in any other nonoverlapping interval, and the random variable of interest is discrete. |
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| 8.
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A random variable is said to be discrete if |
| | A) | its outcomes are countable. |
| | B) | it can assume any real number within an interval. |
| | C) | the rules of probability apply. |
| | D) | it can be represented graphically. |
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| 9.
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The binomial experiment consists of n independent, identical trials, each of which results in either a success or a failure and the probability of success on any trial is the same. |
| | A) | True |
| | B) | False |
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| 10.
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The requirement that the probability of success remains constant from trial to trial is a property of the binomial distribution. |
| | A) | True |
| | B) | False |
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| 11.
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If the number of surface nonconformities on a specific size of metal piece is the discrete random variable in question, then the appropriate probability distribution that can describe the probability of a specific size metal sheet containing 3 nonconformities is given most likely by binomial distribution. |
| | A) | True |
| | B) | False |
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| 12.
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For a Poisson random variable the mean and the variance equal the average number of occurrences over the time interval (µx = σ2x = µ) |
| | A) | True |
| | B) | False |
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| 13.
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In a statistical study, the random variable x = 1, if the house is colonial, and x = 0 if the house is not colonial. Then it can be stated that the random variable is discrete. |
| | A) | True |
| | B) | False |
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