2.2.8The bending capabilities of plastic sheets are investigated by bending sheets at increasingly large angles until a deformity appears in the sheet. The angle at which the deformity first appears is then recorded. Suppose that this angle takes values between 0° and 10° with a probability density function f(0) = A(e¹0-0 - 1) for 0 ≤ 0 ≤ 10 and f(0) = 0 elsewhere. (a) Find the value of A and sketch the probability density function. (b) Construct and sketch the cumulative distribution function. (c) What is the probability that a plastic sheet can be bent up to an angle of 8° without deforming?

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