Question: 9.9. A distribution closely related to the normal distribution is the lognormal dis- tribution. Suppose that X is normally distributed with mean and variance o.

9.9. A distribution closely related to the normal distribution is the lognormal dis- tribution. Suppose that X is normally distributed with mean and variance o. Let Y = ex. Then Y has the lognormal distribution. (That is, Y is lognormal if and only if In Y is normal.) Find the pdf of Y. Note: The following random variables may be represented by the above distribution: the diameter of small particles after a crushing process, the size of an organism subject to a number of small impulses, and the life length of certain items9.3. Suppose that the cable in Problem 9.2 is considered defective if the diameter dif- fers from its mean by more than 0.025. What is the probability of obtaining a defective cable?

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