12. 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. If diameters of both are normally distributed, what is the probability that the rod will fit inside the bearing with at least 0.10 mm clearance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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12. 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. If diameters of both are normally distributed,
what is the probability that the rod will fit inside the bearing with at least 0.10
mm clearance?
Transcribed Image Text:12. 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. If diameters of both are normally distributed, what is the probability that the rod will fit inside the bearing with at least 0.10 mm clearance?
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