A dealer's profit, in units of $1000, on a new automobile is a random variable X having density function S (3.5 – 2)/6.125, if 0 < z < 3.5, l0, elsewhere. f(z) = a. Find the expectation and the variance of the dealer's profit. The expectation = |(dollars) The variance - (square dollars) b. What is the probability that the profit exceeds $1200?

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