Two Pumps Connected in Parallel Fail Independently of One Another

question 14

Essay

Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump will fail is .15, and the probability that only the newer pump will fail is .05. What is the probability that the pumping system will fail on any given day (which happens if both pumps fail)?

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Definitions:

Reciprocity Norm

A social norm suggesting that people should return the help they have received from others, creating a cycle of mutual assistance.

Social Influence Tactics

Strategies used by individuals or groups to change the beliefs, attitudes, or behaviors of others in a particular direction.

Scarcity

The state of being in short supply; a situation where resources are insufficient to satisfy the needs or wants of individuals or societies.

Reactance

A psychological response that occurs when people feel their freedom to choose is being limited, prompting a motivation to regain that freedom.