Question: 1. Problem 11.9 Thenonnegative random variables X and Y are independent and uniformly distributed on (c,d). What is the probability density of Z = X

1. Problem 11.9 Thenonnegative random variables X and Y are independent and uniformly distributed on (c,d). What is the probability density of Z = X + Y?

Whatistheprobabilitydensityfunctionof V = X2 + Y2?Usethelatterdensity to calculate the expectedvalueofthedistanceofapointchosenatrandominside the unit square to the center of the unit square.

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