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givi [52]
3 years ago
7

In a hypothetical study looking at the scores of 100 people in an entrance exam, it was determined that the average score was 95

with a standard deviation of 10. What proportion of individuals in this population have a score greater than 115
Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer: 0.0228

Step-by-step explanation:

Given : In a hypothetical study looking at the scores of 100 people in an entrance exam, it was determined that the average score was 95 with a standard deviation of 10.

i.e. \mu=95\ \ \&\ \sigma=10

Let x denotes the scores.

We assume that the scores are normally distributed.

Then, the proportion of individuals in this population have a score greater than 115 will be :-

P(x>115)=1-P(x\leq115)\\\\=1-P(\dfrac{x-\mu}{\sigma}

Hence , the proportion of individuals in this population have a score greater than 115 = 0.0228

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