In: Statistics and Probability
Roller coaster ride: A roller coaster is being designed that will accommodate 64 riders. The maximum weight the coaster can hold safely is 12,800 pounds. Hence, the maximum mean weight allowed for 64 men on the ride is 200 lbs. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 194 pounds and standard deviation 68 pounds. Assume that U. S. men’s weights are normally distributed. Show which program was used on a TI-84 plus calculator.
a)Find the probability that a randomly chosen man weighs more than 200 lbs.
b) Find the probability that the mean weight of 64 riders is more than 200 lbs.