4.41 Use the uniform distribution. Suppose that a random variable X follows the uniform distribution described in Example 4.29 (page 229). 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 4.9 (page 229).

a. The probability that X is less than 0.2.

b. The probability that X is greater than or equal to 0.7.

c. The probability that X is less than 0.8 and greater than 0.4.

d. The probability that X is 0.7.