Problem 2. Test Scores Distribution. In a certain exam is taken by 200 students, the average...

Problem 2. Test Scores Distribution.

In a certain exam is taken by 200 students, the average score was 60 out of maximum of 100 points. It was also found that 32 students scored more than 75 points. Assuming that the exam scores were well represented by a Gaussian probability density function,

(2a) Determine the mean of the distribution.

(2b) Determine the standard deviation of the distribution.

(2c) Determine the number of students who scored more than 90 points.

(2d) Determine the number of students who scored less than 45 points.

(2e) Write down the expression for the Gaussian distribution that represents the PDF of the exam scores. Make sure that the expression contains all numerical fields filled in with the actual values.

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Expert Solution

orchestra answered 1 year ago

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