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 = 6 ml and standard deviation σ = 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 < 6.4)=
(c) P(x ≤ 6.4) =
(d) P(5.8 < x < 6.2) =
(e) P(x > 5.5) =
(f) P(x = 5) =
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