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3. If a dealers profit, in units of \$5000, on a new automobile can be looked upon as a random variable X having the den... 3. If a dealers profit, in units of \$5000, on a new automobile can be looked upon as a random variable X having the density function f(x) = 2(1 - ), o if 0<x<1, elsewhere. (a) Find the average profit per automobile. (b) Find the standard deviation ox. (c) Find the variance of the dealers profit. (d) Demonstrate that Chebyshevs theorem holds for k = 2 with the density function above (e) What is the probability that the profit exceeds \$500?  Earn Coins

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