An elevator has a placard stating that the maximum capacity is 1352 lb-8 passengers. So, 8 adult male passenger with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 169 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 28 lb.) Does this elevator appear to be safe? $0. The probability the elevator is overloaded is (Round to four decimal places as needed.)

Citizens use an average of 650 pounds of paper a year. Suppose that the distribution is normal with a population standard deviation of 153.5 pounds.  Suppose you take a random sample of 25 Citizens. What is the probability that the mean pounds of paper used in a year are between 500 and 700 pounds

Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?