According to United States Department of Agriculture, the average retail price of conventional whole milk at New York City in the year 2020 (up to November 2020 considered) is $3.92 per gallon. The standard deviation in the retail prices in the year 2020 (up to November 2020 considered) is $0.084. You are given a task of selecting randomly a sample of 85 milk bottles (whole milk of 1 gallon volume).

a.Calculate_xand_x.

b.What is the approximate probability that the sample has a mean retail price that exceeds $4.05?

c.What is the approximate probability that the sample has a mean retail price between $3.91 and $3.94?

[Graph should be drawn and z values and area to be found should be marked for questions b and c]