Question
Problem 1. Exercise 4.10.8 in Applied Statistics & Probability for Engineers, 7th Ed. An article in Journal of Hydrology titled "Use of a Lognormal Distribution Model for Estimating Soil Water Retention Curves from Particle-Size Distribution Data" (2006, Vol. 323(1), pp. 325-334) considered a lognormal distribution model to estimate water retention curves for a range of soil textures. The particle-size distribution (in centimeters) was modeled as a lognormal random variable X with 0 = -3.8 and w = 0.7. Determine the following: a. P(X < 0.02) b. Value for x such that P(X ≤ x) = 0.95 c. Mean and variance of X
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