Cell Phone Lifetimes A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 31 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places. P(X<23.8) = X S

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**Cell Phone Lifetimes**

A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 31 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places.

\[ P\left(\bar{X} < 23.8\right) = \]

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Transcribed Image Text:**Cell Phone Lifetimes** A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 31 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places. \[ P\left(\bar{X} < 23.8\right) = \] [Input Box] [Reset Button]
Expert Solution
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given data,normal distribution μ=24.3σ=2.6n=31probability that mean lifetime of these phones will be less than 23.8 months =?

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