3. Assume that the weights of individuals are independent and normally distributed with a mean of 130 pounds and a standard deviation of 5 pounds. Suppose that 5 people squeeze into an elevator that is designed to hold 1000 pounds. (a) Calculate the probability that the load (total weight) exceeds the design limits. (b) What design limits is exceeded by 10 occupants with probability 0.01?
3. Assume that the weights of individuals are independent and normally distributed with a mean of 130 pounds and a standard deviation of 5 pounds. Suppose that 5 people squeeze into an elevator that is designed to hold 1000 pounds. (a) Calculate the probability that the load (total weight) exceeds the design limits. (b) What design limits is exceeded by 10 occupants with probability 0.01?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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![3. Assume that the weights of individuals are independent and normally distributed with a
mean of 130 pounds and a standard deviation of 5 pounds. Suppose that 5 people squeeze
into an elevator that is designed to hold 1000 pounds.
(a) Calculate the probability that the load (total weight) exceeds the design limits.
(b) What design limits is exceeded by 10 occupants with probability 0.01?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc10cce41-ef51-4545-a724-9736e236d3b7%2F1a5fb19c-83ee-48cf-b047-b86192f660a0%2Fra1euwa_processed.png&w=3840&q=75)
Transcribed Image Text:3. Assume that the weights of individuals are independent and normally distributed with a
mean of 130 pounds and a standard deviation of 5 pounds. Suppose that 5 people squeeze
into an elevator that is designed to hold 1000 pounds.
(a) Calculate the probability that the load (total weight) exceeds the design limits.
(b) What design limits is exceeded by 10 occupants with probability 0.01?
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