# probability

Review and revise your document using the input from your classmate to assist your own revision process. Be sure to edit the document for grammar and spelling prior to turning it in. For convenient reference, the assignment is included below.

Problem description: You oversee a manufacturing facility that produces an automotive part (steel shaft for the gearbox). The acceptable dimension of the shaft is 2.5±0.05 inches in diameter with the most desirable product having a diameter of exactly 2.5 inches. Two vendors are trying to sell your company, Automotive Parts Corporation, their machines for the shaft-machining task. You have been asked to assess the machines from each vendor, and to make a recommendation for a machine vendor supported by a justification for your decision.

You asked both vendors to supply data on the machining accuracy of their machines for the given task. Both vendors machined 100 shafts, collected data, plotted histograms, fitted the histograms with normal distributions and supplied you with their findings.

Let X= diameter in inches of the gearbox shaft
Ace Machines: X has a normal distribution with mean 2.48 and variance 0.001
Best Machinery: X has a normal distribution with mean 2.51 and variance 0.002

When you are completing your memorandum be sure to address the following:

• Recommend a vendor using the given information, develop and discuss your approach (give all details including quantitative justification). Your response to this question must be directed to the audience described below.
• Examine the scenario as described and discuss what additional information would be helpful to make this recommendation a stronger selection, and why that information would be useful. Be careful not to negate your recommendation as you explain this.
• Include your calculations as a titled addendum on its own page at the end of your document

Audience: You are creating this document for the company’s Chief Operating Officer, Lin Gerard, and copying the Chief Financial Officer, Aileen Kitts. Documents involved in major financial decisions like this may also be distributed by the addressees to other executives and the corporate board members.

Document: Complete this assignment as a memorandum. Utilize clear, professional language, including setting your Word preferences to more professional settings. Examples of professional language constraints would include:

Follow the guidance for a Business memorandum ( ATTACHED BELOW)