A millworks builds doors and door frames. The doors have a width that has a mean

Question

A millworks builds doors and door frames. The doors have a width that has a mean of 35.8 inches and a standard dev of 0.15inc. The frames have an inside width that has a mean of 36.0 inches and a standard deviation of 0.15 inches.
a) A door and a door frame are randomly selected from the stack and packaged together. What is the expected value of the gap (inside width of frame - width of door)?
b) Assuming the door and door frame are independent, what is the standard deviation of the gap?

c) What is the probability the door wont fit in the frame(that is, the gap is negative)? Assuming that the door widths and door fram inside widths are normally distributed.

Explanation / Answer

a) 36-35.8=.2 b) square root of .15^2-.15^2 = 0 Your question is written incorrectly. There should be more decimal places in the standard deviations. There is no solution to part c the way it's written right now. c)

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