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4.5
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!).
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