A “big-box” store sells a particular laptop, but has only four in stock. The manager wonders what today’s demand for this particular laptop will be. She learns from the marketing department that the probability distribution for x, the daily demand for the laptop, is as shown in the table. Find the mean, variance, and standard deviation of x. Is it likely that five or more customers will want to buy the laptop today?

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X 0 1 2 3 4 50 p(x) .10 .40 .20 .15 .10 .05