Assigning Grades. Professor CJ uses a normal distribution to assign grades in hi

Question

Assigning Grades. Professor CJ uses a normal distribution to assign grades in his Biostatistics class. He assigns an A to students scoring more than 2 standard deviations above the mean and an F to students scoring more than two standard deviations below the mean. He assigns a B to students who score between 1.2 and 2 standard deviations above the mean and a D to students who score 1.6 and 2 standard deviations below the mean. All other students get a C. what percent of the class receives each grade assuming the scores are normally distributed?

Explanation / Answer

what percent of the class receives each grade assuming the scores are normally distributed?

A--->more than 2 SD above the mean are 1 - 0.95 = 0.05/2 = 0.025= 2.5%

F---->more than 2 SD below the mean are 1 - 0.95 = 0.05 / 2 = 0.025 = 2.5%

B----> between 1.2 and 2 SD above the mean are 95-68 = 27 / 2 = 13.5%

D----> between 1.6 and 2 SD below the mean are 95 - 68 = 27 / 2 = 13.5 %

all the other students get a C

that is 1 - 0.025 - 0.025 - 0.135- 0.135 = 0.68 = 68%

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