... u-41, consider the following. The amount of gold X (in ounces) that a prospec- tor digs in a a day is a random variable with the following pdf: fx(x) = 6x(1 – I)I0,1)(x) Assuming that the price of gold Y (in dollars) per ounce is uniformly distributed over the interval (1700, 2000] and is independent of X. Answer the following questions.

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