Question 4.102

4.102 Use the uniform distribution.

Suppose that a random variable follows the uniform distribution described in Example 4.26 (pages 213–214). For each of the following events, find the probability and illustrate your calculations with a sketch of the density curve similar to the ones in Figure 4.12 (page 214).

  1. The probability that is less than 0.1.
  2. The probability that is greater than or equal to 0.8.
  3. The probability that is less than 0.7 and greater than 0.5.
  4. The probability that is 0.5.