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zubka84 [21]
3 years ago
15

The GRE is an entrance exam that most students are required to take upon entering graduate school. In 2014, the combined scores

for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12. What percent of scores were between 286 and 322? Round your answer to the nearest whole number.
Mathematics
2 answers:
Arturiano [62]3 years ago
8 0
Yes i believe the answer is 289
Elan Coil [88]3 years ago
8 0

Answer: 82\%

Step-by-step explanation:

Given: Mean \mu= 310

Standard deviation \sigma =12

The formula for z score : z=\dfrac{x-\mu}{\sigma}

For x= 286

z=\dfrac{286-310}{12}\\\\\Rightarrow\ z=-2

P value of (z=-2 )=0.0228

For x= 322

z=\dfrac{322-310}{12}\\\\\Rightarrow\ z=1

P value of (z=1)= 0.8413

Now, the probability of students score between 286 and 322 is given by :-

P(286

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