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A modified random walk model for a stock price assumes that at each time step the price can either increase by a fixed amount ? > 0, decrease by this same fixed amount ? > 0, or remain unchanged. Suppose that P1, 0 < P1 < 1 is the probability of an increase, that P2, 0 < P2 < 1 is the probability of a decrease, and that P3 = 1 - P1 - P2 is the probability of no change. Let X be the discrete random variable representing the change in a single step.
(a) Find the expected value of the random variable X.
(b) Find the variance of the random variable X.
The Optimo Company in operating 10 sugar plantations used large amounts of heavy equipment. Optimo has been approached by a leasing company which has offered to lease Optimo many kinds of equipment. As an example, the leasing company has offered t..
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