Question: 4. From the interval (0, 1), two random numbers are selected independently. Show that the probability density function of their sum is given by g(t)

4. From the interval (0, 1), two random numbers are selected independently. Show that the probability density function of their sum is given by g(t) =    t if 0 ≤ t < 1 2 − t if 1 ≤ t < 2 0 otherwise.

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