The sum of two uniform (0, 1) random variables. Figure 5.8 depicts the pdf for the sum

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The sum of two uniform (0, 1) random variables. Figure 5.8 depicts the pdf for the sum of two uniform (0, 1) random variables.

(a) What is the probability of observing a value for this random variable that is less than 1?

(b) Use geometry to find the probability of a value that is less than 0.5.

(c) Find the probability of a value between 0.5 and 1.5.

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