An elevator has a placard stating that the maximum capacity is 1376 lb—8 passengers.​ So, 8 adult male passengers can have a mean weight of up to 1376/8=172 pounds. If the elevator is loaded with 8 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 172 lb.​ (Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 35 lb​.) Does this elevator appear to be​ safe?   The probability the elevator is overloaded is __________. ​(Round to four decimal places as​ needed.)

Based on data from the National Health Board, weights of men are normally distributed with a mean of 178 lbs, and a standard deviation of 29 lbs. Find the probability that 20 randomly selected men will have a mean weight between 170 and 190.

An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)

A particular fruit's weights are normally distributed, with a mean of 455 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 434 grams and 443 grams? Use GeoGebra. Round to 4 places.