Let x denote the amount of gravel sold (in tons) during a randomly selected week at a particular sales facility. Suppose that the density curve has height f(x) above the value x where S2(1 - x) 0SXS1 otherwise. The density curve (the graph of f(x)) is shown in the following figure. Density 2 Gravel (tons) Use the fact that the area of a triangle = (base)(height) to calculate each of the probabilities. (Hint: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds 1 ton. (b) The probability that gravel sold is at least ton.

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