=+7.24 Consider the population of all 1-gal 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.

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)