Exercise 5.1

1.

Let X be a number chosen at random between 8 and 10. Determine the probabilities that X is between 8.5 and 9.5 and X is between 8.5 and 8.7. Determine the probability that X is between a and b. Verify that the probability model for X has the following graph.

2.

For the second example above, find the probability that X is between 0 and 1/2.

3.

For the second example above, find the probability that X is between 3/4 and 1.

4.

For the second example above, find the probability that X is between 0 and 1/4.

5.

For the second example above, (choose a point at random inside the unit circle), find c so that the probability that X is between 0 and c is 1/2. (Hint Sketch it!).

2000-08-26