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3900_2011_PS11

# 3900_2011_PS11 - Problem Set 11 Chem 3900 Physical...

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1 Problem Set 11 Chem 3900: Physical Chemistry II Spring 2011 (SBEF.JU.ZPVSTFMG!IPNFXPSL! "OTXFST!XJMM!CF!QPTUFE!'SJEBZ-!"QSJM!7 UI CHEM 3900 Final Exam Monday, May 16 9:00 - 11:30 AM Uris Hall G01 Problem 1 A large class took 3 exams, each worth 100 points. The grades for each exam were continuously distributed between 0 and 100, and the probability distributions of grades g had the form: ܨሺ݃ሻ ൌ ܭ݃ሺ1 െ ݃/100ሻ with K a constant (depending on ݃ ). The values of for the 3 exams were = 2, 3 and 4, respectively. For each value of : i) Calculate the numerical value of K and plot a graph of F(g) . ii) Calculate the most probable grade. iii) Calculate the average grade. iv) Calculate the root mean squared grade. v) Calculate the standard deviation ߪൌ ඥۃ݃ ۄ െ ۃ݃ۄ vi) Determine the fraction of the class receiving a grade higher than g = 50. Problem 2

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