Rods are taken from a bin in which the mean diameter is 8.30 mm and the standard deviation is 0.40 mm. Bearings are taken from another bin in which the mean diameter is 9.70 mm and the standard deviation is 0.35 mm. A rod and a bearing are both chosen at random. Assume that both diameters are normally distributed. (i) (ii) (iii) Find the probability that the rod will fit inside the bearing with at least 0.10 mm clearance? Find the percentage of randomly selected rods and bearings will not fit together? If it is possible to adjust the mean bearing diameter, determine the maximum bearing diameter value should be adjusted so that the clearance will be between 0.05 and 0.09 mm?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(b)
Rods are taken from a bin in which the mean diameter is 8.30 mm and the standard
deviation is 0.40 mm. Bearings are taken from another bin in which the mean
diameter is 9.70 mm and the standard deviation is 0.35 mm. A rod and a bearing
are both chosen at random. Assume that both diameters are normally distributed.
(i)
(ii)
(iii)
Find the probability that the rod will fit inside the bearing with at least 0.10
mm clearance?
Find the percentage of randomly selected rods and bearings will not fit
together?
If it is possible to adjust the mean bearing diameter, determine the
maximum bearing diameter value should be adjusted so that the clearance
will be between 0.05 and 0.09 mm?
Transcribed Image Text:(b) Rods are taken from a bin in which the mean diameter is 8.30 mm and the standard deviation is 0.40 mm. Bearings are taken from another bin in which the mean diameter is 9.70 mm and the standard deviation is 0.35 mm. A rod and a bearing are both chosen at random. Assume that both diameters are normally distributed. (i) (ii) (iii) Find the probability that the rod will fit inside the bearing with at least 0.10 mm clearance? Find the percentage of randomly selected rods and bearings will not fit together? If it is possible to adjust the mean bearing diameter, determine the maximum bearing diameter value should be adjusted so that the clearance will be between 0.05 and 0.09 mm?
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