Prob. & Stats/GHW7 Page 4 of 4- 2Pis) 4. If a point is randomly located in an interval (a, b) and if Y denotes the location of the point, then Y is assumed to have a uniform distribution over (a, b). A plant efficiency expert randomly selects a location along a 500-foot assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is (a) (1 pt) within 85 feet of the end of the line? Round answer to 2 decimal places. (b) (1 pt) between 100 and 220 feet on the line? Round answer to 2 decimal places. (8pis) I 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