Question: Suppose that X has a lognormal distribution with parameters = -2 and w-9. Determine the following: (a) P(500X1000) (b) The value for x such that

Suppose that X has a lognormal distribution with parameters = -2 and w-9. Determine the following:

(a) P(500X1000)

(b) The value for x such that P(X

(a) P(X < 500)

(b) The conditional probability that X <1500 given that X>1000

(c) What does the difference between the probabilities in parts

(a) and

(b) imply about lifetimes of lognormal ran- dom variables?

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