A machine used to regulate the amount of dye dispensed for mixing shades of paint can be set sothat it discharges an average of milliliters (ml) of...

A machine used to regulate the amount of dye dispensed for mixing shades of paint can be set sothat it discharges an average of μ milliliters (ml) of dye per can of paint. The amount of dyedischarged is known to have a normal distribution with a variance equal to 0.0160. If more than 6ml of dye are discharged when making a certain shade of blue paint, the shade is unacceptable.Determine the setting of μ so that only 1% of the cans of paint will be unacceptable. Interpret yourresult