A mechanical assembly consists of a rod with a bearing on each end. The three pa

Question

A mechanical assembly consists of a rod with a bearing on each end. The three parts are manufactured independently, and all vary a bit from part to part. The length of the rod has mean 12 centimeters (cm) and standard deviation 0.002 millimeters (mm). The length of a bearing has mean 1 cm and standard deviation 0.001 mm. What are the mean and standard deviation of the total length of the assembly? (Round your standard deviation to four decimal places.) mean standard deviation 14 cm Bearing Rod Bearing

Explanation / Answer

Mean = 12 + 1 + 1 = 14

Variance = Variance of rod + 2* Variance of bearing

= 0.0022 + 2 * 0.001

= 0.002004

Standard deviation = sqrt(0.002004) = 0.0448 mm

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