MATH3600_GHW_... x ch4_3.pdf T 4 /4 5. The average cholesterol content of a certain brand of eggs is 221 milligrams, and the standard deviation is 17 milligrams. Assume the variable is normally distributed. If a single egg is selected, find the proba- bility that the cholesterol content will be (a) (2 pts) greater than 220 milligrams. Round answer to 4 decimal places. (b) (2 pts) between 215 and 230 milligrams. Round answer to 4 decimal places. (c) (2 pts) Suppose that a supermarket chain will only except eggs with cholesterol contents that fall in the lower 15% of this distribution. What is the maximum cholesterol content an egg may contain and still be accepted by the supermarket? Round answer to 2 decimal places. (d) (2 pts) Find the cholesterol values that bound the middle 90% of this distribution. Do not use the empirical rule here! Round values to 2 decimal places