A Machine Has Four Components, A, B, C, and D $P ( \mathrm {~A} ) = P ( \mathrm {~B} ) = 0.91 , P ( \mathrm { C } ) = 0.94 , \text { and } P ( \mathrm { D } ) = 0.93$

question 63

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 $P ( \mathrm {~A} ) = P ( \mathrm {~B} ) = 0.91 , P ( \mathrm { C } ) = 0.94 , \text { and } P ( \mathrm { D } ) = 0.93$ . Find the probability that the machine works properly.

• A) 0.7955
• B) 0.7784
• C) 0.2761
• D) 0.7239

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Definitions:

Symbolic Thinking

The ability to use symbols, signs, or objects to represent ideas or concepts, significant in language development and creative thinking.

Cognitive Developmental Milestones

Refer to the key stages in early childhood and adolescence where individuals achieve new abilities in language, thought, problem-solving, and personal interaction.

Piaget

Piaget, Jean Piaget, was a Swiss psychologist best known for his pioneering work in child development, specifically his theory of cognitive development that describes how children's intellect grows and evolves in stages.

Age-related Timing

Age-related Timing pertains to the specific periods or milestones in an individual's life when certain abilities, behaviors, or physiological changes are most likely to occur.