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Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ=6ml and standard deviationσ= 0.2 ml is a reasonable model for the distribution of the variable x= amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round all answers to four decimal places.)(a)P(x>6) =

(b)P(x<6.2)=

(c)P(x≤6.2) =

(d)P(5.8

(e)P(x>5.5) =

(f)P(x>5) =

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