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 ml and standard deviation s  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:

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)