Question 3. The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard deviation of 0.02 inches. The diameter L of a medium coffee cup LID at the coffee shop follows the Normal distribution with a mean of 3.01 inches and standard deviation of 0.01 inches. Assume that M and L are independent random variables. Let D = L-M be the difference between the lid's diameter. What is the mean of D? Use 2 places after the decimal.
What is the standard deviation of D? Use 4 places after the decimal.
For a lid to fit on the cup, the difference, D, needs to be less than .08 inches. Find the probability that a randomly select lid will fit on the medium coffee cup. Use 3 places after the decimal.