The resistance (R) of a cylindrical conductor is proportional to its length (L) and inversely proportional to the square of its cross-sectional radius (r): R r2 Suppose L and r are measured to a precision of 0.1%. What is the maximal relative error in R? Suppose a solution of concentration Co and volume V. is diluted by successive additions each of volume V, of solvent. What is the error in Cn, the concentration after n such additions? The following are exam results for a given class: Student So Student Score 1 73 21 69 2 91 22 70 72 23 82 4 81 24 90 82 25 63 6. 46 26 70 7 89 27 94 8 75 28 44 9. 62 29 100 10 58 30 88 11 73 31 56 12 46 32 94 13 64 33 51 14 61 34 79 15 50 35 63 16 89 36 87 17 91 37 54 18 82 38 100 19 71 39 72 20 76 40 81 a) Provide an appropriate histogram representing the distribution of class exam scores. b) Determine the mean and standard deviation of the class scores. c) Graph the Gauss-Normal distribution representing the class exam scores. d) Determine the standard deviation of the mean for this data.