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2. An elevator has a sign indicating "Maximum Capacity 2000 lb -- 27 passengers." Because 4000/27 = 148, this corresponds to a mean passenger weight of 148 lb when the elevator is full. Assume the worst case scenario of 27 adult males. Assume the weight of adult males is normally distributed with a mean of 189 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. Type your answer... -DO b) Find the probability that 27 randomly selected adult males have a mean weight greater than 148 lb. Type your answer... -DO c) Elevators typically have a safety factor of 25%. So an elevator rated for 4000 lb, can actually carry a capacity of 5000 lb. Using this value, at 27 male passengers, the allowed average weight is 185.2 lb. What is the probability that the elevator is overloaded when 27 males are onboard? Type your answer

2. An elevator has a sign indicating "Maximum Capacity 2000 lb -- 27 passengers." Because 4000/27 = 148, this corresponds to a mean passenger weight of 148 lb when the elevator is full. Assume the worst case scenario of 27 adult males. Assume the weight of adult males is normally distributed with a mean of 189 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. Type your answer... -DO b) Find the probability that 27 randomly selected adult males have a mean weight greater than 148 lb. Type your answer... -DO c) Elevators typically have a safety factor of 25%. So an elevator rated for 4000 lb, can actually carry a capacity of 5000 lb. Using this value, at 27 male passengers, the allowed average weight is 185.2 lb. What is the probability that the elevator is overloaded when 27 males are onboard? Type your answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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-DO 2. An elevator has a sign indicating "Maximum Capacity 2000 lb -- 27 passengers." Because 4000/27 = 148, this corresponds to a mean passenger weight of 148 lb when the elevator is full. Assume the worst case scenario of 27 adult males. Assume the weight of adult males is normally distributed with a mean of 189 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. Type your answer... DID b) Find the probability that 27 randomly selected adult males have a mean weight greater than 148 lb. Type your answer... D-O c) Elevators typically have a safety factor of 25%. So an elevator rated for 4000 lb, can actually carry a capacity of 5000 lb. Using this value, at 27 male passengers, the allowed average weight is 185.2 lb. What is the probability that the elevator is overloaded when 27 males are onboard? Type your answer
Transcribed Image Text:-DO 2. An elevator has a sign indicating "Maximum Capacity 2000 lb -- 27 passengers." Because 4000/27 = 148, this corresponds to a mean passenger weight of 148 lb when the elevator is full. Assume the worst case scenario of 27 adult males. Assume the weight of adult males is normally distributed with a mean of 189 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. Type your answer... DID b) Find the probability that 27 randomly selected adult males have a mean weight greater than 148 lb. Type your answer... D-O c) Elevators typically have a safety factor of 25%. So an elevator rated for 4000 lb, can actually carry a capacity of 5000 lb. Using this value, at 27 male passengers, the allowed average weight is 185.2 lb. What is the probability that the elevator is overloaded when 27 males are onboard? Type your answer
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