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| 1 | |
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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| 2 | |
The ________ variable describes the number of occurrences of an event over a specified interval of time or space. |
| | A) | Binomial random |
| | B) | Poisson random |
| | C) | Discrete random |
| | D) | Continuous random |
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| 3 | |
The expected value of a discrete random variable is: |
| | A) | Σx p(x) |
| | B) | n p(q) |
| | C) | Σ(x - µx)2 p(x) |
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| 4 | |
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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| 5 | |
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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| 6 | |
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 the binomial distribution. |
| | A) | True |
| | B) | False |
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| 7 | |
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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| 8 | |
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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| 9 | |
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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| 10 | |
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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| 11 | |
Two characteristics/assumptions of the Poisson distribution include: |
| | A) | The 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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| 12 | |
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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| 13 | |
In a statistical study, define 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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| 14 | |
The binomial distribution can be described using which of the following situations? |
| | A) | Drawing cards from a 52-card deck |
| | B) | Counting defects on an item |
| | C) | Tossing a coin |
| | D) | Calculating the miles per gallon during a trip |
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| 15 | |
A Poisson random variable is a continuous variable. |
| | A) | True |
| | B) | False |
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