# Question

Three parts are assembled in series so that their critical dimensions x1, x2, and x3 add. The dimensions of each part are normally distributed with the following parameters:

1 100,1 4, 2 75, 2 4, 3 75, 3 2 .

What is the probability that an assembly chosen at random will have a combined dimension in excess of 262?

1 100,1 4, 2 75, 2 4, 3 75, 3 2 .

What is the probability that an assembly chosen at random will have a combined dimension in excess of 262?

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