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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

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 an isosceles triangle with base from 0 to 2 and height 1 shown in chapter 12 of the 7th edition of Moore, Notz and Fligner (Chapter 10 in 6th edition).

(a) What is the probability that X is less than 1.8?

(b) What is the probability that X is less than 0.1?

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