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The grains composing polycrystalline metals tend to have weights that follow a log-normal distribution. For a type of aluminum, gram weights have a log-normal distribution with ? = 3 and ? = 4 (in units of 10-2g).

a. Find the mean and variance of the grain weights.

b. What is the probability that the grain weights will lay 2 standard deviations from the mean?

c. Find the probability that a randomly chosen grain weighs less than the mean grain weight.

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  • Category:- Statistics and Probability
  • Reference No.:- M9990884

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