# Project #39488 - Engineering Probability and Statistic

Show all work for problems 2-36, 2-41, 2-44, 2-47 and 2-49

2-36. In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are three machine tools, four polishing tools, and three painting tools, how many different routings (consisting of machining, followed by polishing, and followed by painting) for a part are possible?

2-41. A batch of 140 semiconductor chips is inspected by choosing a sample of ï¬ve chips. Assume 10 of the chips do not conform to customer requirements.

(a) How many different samples are possible?

(b) How many samples of ï¬ve contain exactly one nonconforming chip?

(c) How many samples of ï¬ve contain at least one nonconforming chip?

2-44. In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top.

(a) If all components are different, how many different de- signs are possible?

(b) If seven components are identical to one another, but the others are different, how many different designs are possible?

(c) If three components are of one type and identical to one another, and four components are of another type and identical to one another, but the others are different, how many different designs are possible?

2-47. In a chemical plant, 24 holding tanks are used for ï¬nal product storage. Four tanks are selected at random and without replacement. Suppose that six of the tanks contain material in which the viscosity exceeds the customer requirements.

(a) What is the probability that exactly one tank in the sample contains high-viscosity material?

(b) What is the probability that at least one tank in the sample contains high-viscosity material?

(c) In addition to the six tanks with high viscosity levels, four different tanks contain material with high impurities. What is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?

2-49. A bin of 50 parts contains ï¬ve that are defective. A sample of two parts is selected at random, without replace- ment. Determine the probability that both parts in the sample are defective.

 Subject Science Due By (Pacific Time) 09/08/2014 10:00 am
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