1.112 A uniform distribution. If you ask a computer to generate “random numbers” between 0 and 1, you will get observations from a uniform distribution. Figure 1.33 graphs the density curve for a uniform distribution. Use areas under this density curve to answer the following questions.

1. (a) Why is the total area under this curve equal to 1?

2. (b) What proportion of the observations lie above 0.44?

3. (c) What proportion of the observations lie between 0.44 and 0.70?