The width of a casing for a door is normally distributed with amean of 24 inches and a standard deviation of 1/8 inch. the widthof a door is normally distributed with a mean of 23 and 7/8 inchesand a standard deviation of 1/16 inch. assume independence.

a) determine the mean and standard deviation of the differencebetween the width of the casing and the width of the door.

b) what is the probability that the width of the casing minus thewidth of the door exceeds 1/4 inch?

c) what is the probability that the door does not fit in thecasing?