7.71 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 m 5 5 ml and standard deviation s 5 0.2 ml is a reasonable model for the distribution of the variable x 5 amount of red dye in the paint mixture.

Use the normal distribution model to calculate the following probabilities. (Hint: See Examaples 7.27 and 7.28.)

a. P(x , 5.0)

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 . 4.0)