Question: In a study for an infrastructure upgrade, it was found the time between failures of a sewer system is a lognormal distribution with = 0.5.

In a study for an infrastructure upgrade, it was found the time between failures of a sewer system is a lognormal distribution with = 0.5. The median time between failures is 10 months. Planned inspections help to keep the system operational.

a. How often should inspections be performed (in months) to ensure the equipment is operational 90% of the time?

b. What is the mean value, , for this distribution?

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