The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

Question:

(a) Determine the cumulative distribution function of flange thickness.

(b) Determine the proportion of flanges that exceeds 1.02 millimeters.

(c) What thickness is exceeded by 90% of the flanges?

(d) Determine the mean and variance of flange thickness.

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