The scores on a psychology exam were normally distributed with a mean of 60 and a standard deviation of 10 . a failing grade on the exam was anything 2 or more standard deviations below the mean. what was the cutoff for a failing score? approximately what percentage of the students failed? the cutoff for a failing score was nothing . (simplify your answer.) approximately nothing percent of the students failed. (round to one decimal place as needed.)

The cutoff for a failing score was 40,

Approximately 2.3% of the students failed.

Step-by-step explanation:

Given,

Mean,

Standard deviation,

Let x represents the cutoff for a failing score,

Thus, according to the question,

Thus, the cutoff for a failing score is 40,

∵ P(<-2) = 0.02275 = 2.275 % ≈ 2.3 %

Hence, Approximately 2.3 % of the students failed.

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step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870