4.48 Use the uniform distribution. Suppose that a random variable X follows the uniform distribution described in Exampl

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4 48 Use The Uniform Distribution Suppose That A Random Variable X Follows The Uniform Distribution Described In Exampl 1 (113.02 KiB) Viewed 104 times

4.48 Use the uniform distribution. Suppose that a random variable X follows the uniform distribution described in Example 4.25 (page 240). 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. (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. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0 1 0.3 0.7 P(0.3 SX 50.7) (a) 0.5 0.8 P(X 30.5 or X > 0.8) (b)