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A New Car Dealer Observes That the Number X of Warranty

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Short Answer

A new car dealer observes that the number X of warranty claims for repairs on each new car sold is Poisson distributed, with an average of six claims per car. Compute the probability that a new car sold by the dealer will have no more than three warranty claims.
Enter your answer in the form a eb\mathrm { e } ^ { \mathrm { b } } .


Definitions:

Graph

The visual representation of data or functions on a coordinate system, showing relationships between variables.

Standard Form

A way of writing numbers using digits, or a specific way to write equations, such as Ax + By = C for lines.

Hyperbola

A type of smooth curve lying in a plane, defined as the locus of points such that the difference between the distances from two fixed points (foci) is constant.

Asymptotes

Lines that a curve approaches as it heads towards infinity, indicating the boundary beyond which a graph does not venture.

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