Integration by parts is required. The probability density function for the diameter of a drilled hole in millimeters is 10e1o-4.0) for x> 4.0 mm. Although the target diameter is 4.0 millimeters, vibrations, tool wear, and other nuisances produce diameters larger than 4.0 millimeters. a) Determine the mean and variance of the diameter of the holes. Mean = millimeters (Round your answer to 1 decimal place.) Variance - b) Determine the probability that a diameter exceeds 4.1 millimeters. (Round your answer to 3 decimal places.) millimeters? (Round your answer to 2 decimal places.)

Question
Integration by parts is required. The probability density function for the diameter of a drilled hole in millimeters is 10e1o-4.0) for x> 4.0 mm. Although the target diameter is 4.0
millimeters, vibrations, tool wear, and other nuisances produce diameters larger than 4.0 millimeters.
a) Determine the mean and variance of the diameter of the holes.
Mean =
millimeters (Round your answer to 1 decimal place.)
Variance -
b) Determine the probability that a diameter exceeds 4.1 millimeters. (Round your answer to 3 decimal places.)
millimeters? (Round your answer to 2 decimal places.)
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Transcribed Image Text

Integration by parts is required. The probability density function for the diameter of a drilled hole in millimeters is 10e1o-4.0) for x> 4.0 mm. Although the target diameter is 4.0 millimeters, vibrations, tool wear, and other nuisances produce diameters larger than 4.0 millimeters. a) Determine the mean and variance of the diameter of the holes. Mean = millimeters (Round your answer to 1 decimal place.) Variance - b) Determine the probability that a diameter exceeds 4.1 millimeters. (Round your answer to 3 decimal places.) millimeters? (Round your answer to 2 decimal places.)

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