EE302%20hw4_fa06

EE302%20hw4_fa06 - EE302 Homework #4 Assigned 10/16/06, Due...

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22 ± ²² ² nearly EE302 Homework #4 ,,,,,,,,,,,,,,,,,,,. X YX u X u x X ±. Y R XV V Yq X K ZXYXq X qx qx K ,,. gx x qx. gx K ,,. X , Zg X . 95 87 85 83 78 76 75 72 70 70 52 50 45 44 42 40 38 35 34 20 =( ) ( ) ± 1 10 =() 2 == ( ) () =234 ()= Assigned 10/16/06, Due 10/26/06 (by 4:30 in dropbox in MSEE 330) 1. An exam is taken by 20 students and the results are (a) Plota histogramof thegradeswithbinsize of 10,i.e., plot thenumber ofgrades between 99 and 90, 89 and 80, 79 and 70,. .., 29 and 20. (b) Computeestimatesofthemeanandvarianceusingabuttononyourcalculator,aformula from the text or any other source you like (say what you used). (c) Assuming that thegrades are random samples of a Gaussianrandom variable with mean and variance as in part b), ±nd the ranges which correspond to grades of A,B,C,D, and F as discussed in class. Compare the probability of each grade based on the Gaussian assumption with the actual fraction of scores in each range. (d) Instead of assigning grades as in part c), ±nd the ranges which correspond to grades of A,B,C,D, and F such that the fraction of scores in each range is the same as the probability based on the Gaussian assumption. Compare the ranges of scores based on the Gaussian assumption (from part c)) with the ranges found in this way. Note: since
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EE302%20hw4_fa06 - EE302 Homework #4 Assigned 10/16/06, Due...

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