Question 4. The distribution of yield strength of steel bars in batch A is normal with mean 40,000 psi and the coefficient of variation 10% while the yield strength of steel bars in batch B has a lognormal distribution with the same mean and the same of coefficient of variations as those of batch A. If it is specified that the bars with the yield strength less than 30,000 psi are considered defective and cannot be used for construction, which has higher probability to be defective, a bar from batch A or B?

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
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Question 4. The distribution of yield strength of steel bars in batch A is normal with mean 40,000 psi and the
coefficient of variation 10% while the yield strength of steel bars in batch B has a lognormal distribution with the
same mean and the same of coefficient of variations as those of batch A. If it is specified that the bars with the yield
strength less than 30,000 psi are considered defective and cannot be used for construction, which has higher
probability to be defective, a bar from batch A or B?
Transcribed Image Text:Question 4. The distribution of yield strength of steel bars in batch A is normal with mean 40,000 psi and the coefficient of variation 10% while the yield strength of steel bars in batch B has a lognormal distribution with the same mean and the same of coefficient of variations as those of batch A. If it is specified that the bars with the yield strength less than 30,000 psi are considered defective and cannot be used for construction, which has higher probability to be defective, a bar from batch A or B?
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