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Generate two random numbers between 0 and 1 and take X to be their sum. The sum X can take any value between 0 and 2. The density curve of X is a curve that forms an isosceles triangle with the horizontal axis. It has height 1 and the base goes from 0 to 2 on the horizontal axis. It is also shown in Figure 10.7 (p. 275) of the 6th edition of Moore, Notz and Fligner.

(a) What is the probability that X is less than 1.7?
(b) What is the probability that X is less than 0.9?

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