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The Time Between Failures for an Electrical Appliance Is Exponentially

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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 30 months have elapsed?


Definitions:

Two-factor ANOVA

A statistical test used to analyze the difference between group means when there are two independent variables.

Interaction

The influence that variables have on each other within a statistical model or real-world scenario.

Factorial Experiment

An experimental strategy that involves systematically varying all possible combinations of levels across multiple factors to determine their effects on a response variable.

Two-factor ANOVA

A statistical method used to analyze the effects of two independent variables on a single continuous dependent variable.

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