An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580 (Round to four decimal places as needed.)
An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580 (Round to four decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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