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The mean compressive strength of a batch of concrete is found to have a lognormal distribution with a mean value of 5,000 psi and a

The mean compressive strength of a batch of concrete is found to have a lognormal distribution with a mean value of 5,000 psi and a standard deviation of 500 psi. The minimum required strength is 4,000 psi. Five cylinders from the batch are tested.

a) What is the probability that at least one cylinder will fail?

b) What is the probability that two cylinders will fail?

c) What is the probability that the fifth cylinder will fail and the others will pass?

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