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Suppose that X has a lognormal distribution with parameters θ = 5 and ω2=9. Determine the...

Suppose that X has a lognormal distribution with parameters θ = 5 and ω2=9. Determine the following.

  1. P(X < 500)

  1. Conditional probability that X < 1500 given that X > 1000
  1. What does the difference between the probabilities in parts (a) and (b) imply about lifetimes of lognormal random variables?

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