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Three shafts are made and assembled into a linkage the

Question: Three shafts are made and assembled into a linkage. The length .of each shaft, in centimeters, is distributed as follows:

Shaft 1: N(60, 0.09)

Shaft 2: N(40, 0.05)

Shaft 3: N(50, 0.11)

(a) What is the distribution of the length of the linkage?

(b) What is the probability that the linkage will be longer than 150.2 centimeters?

(c) The tolerance limits for the assembly are (149.83, 150.21). What proportion of assemblies are within the tolerance limits?

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