Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches and standard deviation 4 inches. If a random sample of eight 18-year-old men is selected, what is the probability that the mean height x is between 72 and 74 inches? (Round your answer to four decimal places.)

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.