Question

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Final exam scores in a Math class with large number of students have mean 151 and standard deviation 4.1. Provided the scores of this Final exam have a nearly symmetric/bell-curve distribution, what percent of students score below 142.8 OR above 146.9 cal Enter a Points possible: 5 Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 Message instructor about this question more License

Answer 1

$Let~X=final~exam~scores~in~Math~class\\ Assume,~X\sim Norm(151,4.1^2).\\ The~percentage~of~students~score~below~142.8~OR~above~146.9\\ =\left(P(X<142.8)&plus;P(X>146.9) \right )\times 100\%\\ =\left(\Phi((142.8-151)/4.1)&plus;1-\Phi((146.9-151)/4.1) \right )\times 100\%\\ =86.41\%~(rounded~two~decimal~places)$