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A Car Dealership Has Found That the Length of Time

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A car dealership has found that the length of time before a major repair is required on the new cars it sells is normally distributed, with a mean equal of 36 months and a standard deviation of 9 months. If the dealer wants only 5% of the cars to fail before the end of the guarantee period, for how many months should the cars be guaranteed?
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Definitions:

Normally Closed

Refers to a switch or relay that is in a closed (conducting) state when at rest, opening only when activated.

Overload Contacts

Electrical contacts designed to open or close in response to an overload condition, providing protection to circuits and devices.

Wiring Diagram

A wiring diagram is a simplified conventional pictorial representation of an electrical circuit, showing the components of the circuit and their connections.

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