The article “Assessment of Dermopharmacokinetic Approach in the Bioequivalence Determination of Topical Tretinoin Gel Products” (L. Pershing, J. Nelson, et al., J Am Acad Dermatol 2003:740–751) reports that the amount of a certain antifungal ointment that is absorbed into the skin can be modeled with a lognormal distribution. Assume that the amount (in ng/cm²) of active ingredient in the skin two hours after application is lognormally distributed with μ = 2.2 and σ = 2.1. a) Find the mean amount absorbed. b) Find the median amount absorbed. c) Find the probability that the amount absorbed is more than 100 ng/cm². d) Find the probability that the amount absorbed is less than 50 ng/cm². e) Find the 80th percentile of the amount absorbed. f) Find the standard deviation of the amount absorbed.

The article “Assessment of Dermopharmacokinetic Approach in the Bioequivalence Determination of Topical Tretinoin Gel Products” (L. Pershing, J. Nelson, et al., J Am Acad Dermatol 2003:740–751) reports that the amount of a certain antifungal ointment that is absorbed into the skin can be modeled with a lognormal distribution. Assume that the amount (in ng/cm²) of active ingredient in the skin two hours after application is lognormally distributed with μ = 2.2 and σ = 2.1. a) Find the mean amount absorbed. b) Find the median amount absorbed. c) Find the probability that the amount absorbed is more than 100 ng/cm². d) Find the probability that the amount absorbed is less than 50 ng/cm². e) Find the 80th percentile of the amount absorbed. f) Find the standard deviation of the amount absorbed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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