390_Problem_Set_10 - 1 Problem Set 10 Chem 3900 Physical...

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Unformatted text preview: 1 Problem Set 10 Chem 3900: Physical Chemistry II Spring 2009 Due: Class, Monday, April 27th Please make sure to write your name and the recitation you’ll attend. When you print out your work, try to minimize the number of pages. The final submission should be your own work. 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 ( ) ( ) 1 /100 F g Kg g α = − (1) with K a constant (depending on α ). The values of α for the 3 exams were α = 2, 3 and 4, respectively. For each value of α , (a) Calculate the numerical value of K and plot a graph of F(g) . (b) Calculate the most probable grade. (c) Calculate the average grade. (d) Calculate the root-mean-squared grade. (e) Calculate the standard deviation 2 2 g g σ = − . (f) Determine the fraction of the class receiving a grade higher than g = 50....
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