Gizmo and Co. is major player in nationwide market for Gizmos. They manufacture 14,000 Gizmos every year. Their number of defects per year is normally distributed with mean 3,000 units and standard deviation 500.
Operations at Gizmo and Co. claims that their company can meet their total demand for Gizmos with probability 95%. How large can their yearly demand be in order for that statement to be correct?
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