The probability density function for the diameter of a drilled hole in millimeters is 10 e 10(x-5) for x>5 mm. Although the target diameter is 5 millimeters, vibrations, tool wear, and other nuisances produce diameters greater than 5 millimeters. a. Draw the probability distribution curve. b. Determine the probability that the hole diameter is 5 to 5.1mm c. Determine the expected diameter of the drilled hole. d. Determine the variance of the diameter of the holes. (Please refer to your books) e. Determine the cumulative distribution function. f. Draw the curve of the cumulative distribution function. g. Using the cumulative distribution function, determine the probability that a diameter exceeds 5.1 millimeters.

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