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 = 5 ml and standard deviation = 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 > 5) = (b) P(x < 5.4)= (c) P(x 5.4) = (d) P(4.6 < x < 5.2) = (e) P(x > 4.5) = (f) P(x = 3.8) =