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Homework answers / question archive / Decide whether each of the following statements is true or false

Decide whether each of the following statements is true or false.

If a statement is false, explain the reason why the statement is false.

1. Yearly wages to the nearest dollar are recorded on the discrete numerical scale.

2. In a continuous probability distribution, the total area between the curve representing the distribution and the horizontal axis is 1.

3. In a continuous probability distribution, the probability of any particular value is the vertical distance at the value between the horizontal axis and the curve representing the distribution. 4. In a discrete probability distribution, the length of a vertical line at a certain value can be interpreted as the probability that such a value will result from random sampling.

5. If a population is infinite in size, the variable of interest is continuous.

6. Random variables always have numerical values.

7. The expected value of a probability distribution can be thought of as the center of balance. 8. The variance of a probability distribution is a measure of location, and the expected value indicates the spread.

9. If 2 probability distributions have equal variances, then their expected values are equal also. 10. The variance of a probability distribution can be defined symbolically as E[y-E(y)]^2 .