Question: The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for 74.6 < x < 75.4 millimeters.

The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for 74.6 < x < 75.4 millimeters. Determine the following:
(a) P(X < 74.8)
(b) P(X < 74.8 or X > 75.2)
(c) If the specifications for this process are from 74.7 to 75.3 millimeters, what proportion of hinges meets specifications?

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