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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.7 years, and standard deviation of 1.2 years. If you

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.7 years, and standard deviation of 1.2 years. If you randomly purchase 21 items, what is the probability that their mean life will be longer than 15 years

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