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

question 169

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) = 0.99,P(C) = 0.91, and P(D) = 0.93. Find the probability that the machine works properly. Round to the nearestten-thousandth.

• A) 0.8295
• B) 0.8378
• C) 0.8919
• D) 0.1705

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Definitions:

ROPES

Represents a model or framework in various fields, such as education or psychology, to facilitate understanding and learning.

Objective Career Outcomes

Tangible and measurable achievements in one's professional life, such as promotions, salary increases, or achieving specific job milestones.

Mentoring

A developmental relationship where a more experienced or more knowledgeable person helps to guide a less experienced or less knowledgeable person.

Career Success

Achieving personal satisfaction and goals in one's professional life, often marked by advancements and recognitions.