a) What is the chance of a bolt failure in the first 5500 days of use?   b-)What is the probability that a bolt will fail between 8250 and 12500 days of use?

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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25000 bolts are going to be used to fix a certain structure. The bolts have a mean fatigue life of 10000 days with a standard deviation of 2000 days under heavy dynamic loading conditions.
a) What is the chance of a bolt failure in the first 5500 days of use?
 
b-)What is the probability that a bolt will fail between 8250 and 12500 days of use?
 
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