The scores on a final exam were approximately normally distributed with a mean of 82 and a standard deviation of 11. If 85 stude nts took the exam, and above a 60 is a passing grade, how many students failed the exam? A. 13
B. 1
C. 2
D. 12
2 answers:
The scores on a final exam were approximately normally distributed with a mean of 82 and a standard deviation of 11. If 85 students took the exam, and above a 60 is a passing grade, the students failed in the exam are <span>C. 2. </span>
Answer:
<em>2 </em><em> students failed in the final exam.</em>
Step-by-step explanation:
The scores on a final exam were approximately normally distributed.
We know that,
X = raw score = 60
μ = mean = 82
σ = standard deviation = 11
Putting the values,
From Normal distribution table, we get
Hence, 2.27% of 85 students failed the final exam.
So the number of students who failed the exam is,
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