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

question 232

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 the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.95, P(C) = 0.91, and P(D) = 0.98. Find the probability that the machine works properly.

• A) 0.8048
• B) 0.8472
• C) 0.8213
• D) 0.1952

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Definitions:

Granite Unit

A large body of igneous rock with a granular and phaneritic texture, predominantly composed of quartz and feldspar.

Half-Lives

The time required for half the atoms in a sample of a radioactive substance to decay into a more stable form.

Granite Unit

A large body of intrusive igneous rock characterized by a composition of quartz, feldspar, and mica, commonly forming part of the continental crust.

Half-Lives

The time required for half the atoms in a radioactive substance to decay, a measure of the rate at which radioactive materials break down.