The weights of the contents of a cereal box are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.07 ounces.

Questions:

a) Compute the z score for the weight of 20.07 ounces.Show your work or explain in detail how you obtained your answer.Then interpret the meaning of the z-score in the context of the problem.

b)If a box is randomly selected, what is the probability that the weight of the box is more than 20.07 ounces?Show work or write the calculator function you are using including the mean and SD.

c)If 5 boxes are randomly selected, what is the probability that their mean weight is more than20.07 ounces? Show work or write the calculator function you are using including the mean and SD.

d)Boxes in the lower 4% do not meet the minimum weight requirements and must be repackaged.What is the minimum weight requirement for a cereal box?Show your work or explain how you obtained your answer.