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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.8 years, and standard deviation of 3.1 years. If you

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.8 years, and standard deviation of 3.1 years. If you randomly purchase 6 items, what is the probability that their mean life will be longer than 10 years?

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