The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by the equation:
z = (raw score - mean) / standard deviation
Given mean of 61 and a standard deviation of 5.
The z score that corresponds to 2 or more standard deviations below the mean is -2. Hence:
-2 = (x - 61) / 5
x = 51
P(z < -2) = 0.0228
The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
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