Question #81227

What is the distribution of the cross-sectional area of a reinforced-concrete column which is a) A square with equal sides, each equal to a random variable Z with a lognormal distribution with the following parameters: median m and standard deviation of its logarithm lnZ? b) A “random square” with sides Z1 and Z2, two identically distributed independent random variables each distributed like Z in part (a) above? c) Which model of the column area implies a larger dispersion? Note that model (a) is the same as (b) if Z1 and Z2 are assumed to be not independent but perfectly correlated, that is, Z1 = Z

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