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Anuta_ua [19.1K]
3 years ago
6

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
Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0
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>
frosja888 [35]3 years ago
7 0

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,

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

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