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Temka [501]
3 years ago
15

On an exam, the mean score is 78 points, with a standard deviation of 6 points. Assuming normal distribution of the scores, appr

oximately what percentage of students received more than 85?A.12% B.17% C.8% D.9% E.None of the above
Mathematics
1 answer:
olasank [31]3 years ago
5 0

Answer: A. 12%

Step-by-step explanation:-

Given : In an exam , Mean score : \mu=78\text{ points}

Standard deviation : 6\text{ points}

Let X be a random variable that represents the scores of students.

We assume that the points are normally distributed.

Z-score : z=\dfrac{x-\mu}{\sigma}

For x = 85, we have

z=\dfrac{85-78}{6}\approx1.17

Then using standard normal distribution table, the probability that the students received more than 85 is given by :-

P(x>85)=P(z>1.17)=1-P(z

Hence, the percentage of students received more than 85 =12%

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