Answer:
2 students failed in the final exam.
Step-by-step explanation:
The scores on a final exam were approximately normally distributed.
We know that,
\(Z=\dfrac{X-\mu}{\sigma}\)
X = raw score = 60
μ = mean = 82
σ = standard deviation = 11
Putting the values,
\(Z=\dfrac{60-82}{11}=-2\)
From Normal distribution table, we get
\(P(-2)=0.0227=2.27\%\)
Hence, 2.27% of 85 students failed the final exam.
So the number of students who failed the exam is,
\(=85\times 0.0227=1.9295\approx 2\)
