A Machine Has Four Components, A, B, C, and D

question 235

Multiple Choice

A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for themachine to work properly. Assume the probability of one part working does not depend on the functionality ofany of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.93,P(C) = 0.98, and P(D) = 0.96. Find the probability that at least one of the four parts will work. Round to sixdecimal places.

• A) 0.999996
• B) 0.813698
• C) 0.000004
• D) 0.186302

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Definitions:

Direct Labor

Labor costs that can be directly traced to the production of specific goods or services.

Standard Costs

Predetermined costs for materials, labor, and overhead, used for budgeting and measuring performance.

Hours

A unit of time equivalent to 60 minutes, often used to track time spent on activities or work performed.

Finished Goods Inventory

Inventory of finished goods available for sale.