Every year, a major university assigns Class A to ~16 per cent of itsmathematics graduates, Class B and Class C each to ~34 per cent and Class D or failureto the remaining 16 per cent. The figures are repeated regardless of the variation in theactual performance in a given year.A graduating student tries to make sense of such a practice. She assumes that theindividual candidate's scores X,....x, are independent variables that differ only inmean values Ex,. so that 'centred' scores X, - EX, have the same distribution. Next.she considers the average sample total score distribution as approximately N(u. o). Herguess is that the above practice is related to a standard partition of students' total scorevalues into four categories. Class A is awarded when the score exceeds a certain limit,say a, Class B when it is between b and a, Class C when between c and b and Class Dor failure when it is lower that c. Obviously, the thresholds c, b and a may depend on uand or.After a while (and using tables), she convinces herself that it is indeed the case andmanages to find simple formulas giving reasonable approximations for a, b and c. Canyou reproduce her answer?

Given Information: Consider the independent variables X1,X2,...,Xn as the individual score of the…

Answered: Every year, a major university assigns…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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