13. + -/5 points PODStat5 8.E.013.MI. My Notes + Ask Your Teacher Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 5. (Use a table or technology.) (a) What are the mean and standard deviation of the x sampling distribution? Describe the shape of the x sampling distribution. The shape of x sampling distribution is -Select- (b) What is the approximate probability that x will be within 0.5 of the population mean ? (Round your answer to four decimal places.) (c) What is the approximate probability that x will differ from u by more than 0.9? (Round your answer to four decimal places.) Need Help? Read It Master It Talk to a Tutor 14. +-/1 points PODStat5 8.E.021. My Notes + Ask Your Teacher An airplane with room for 100 passengers has a total baggage limit of 6000 lb. Suppose that the total weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb and a standard deviation of 21 lb. If 100 passengers will board a flight, what is the approximate probability that the total weight of their baggage will exceed the limit? (Hint: With n = 100, the total weight exceeds the limit when the average weight x exceeds 6000/100.) (Round your answer to four decimal places.)