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qwelly [4]
2 years ago
14

The grade point averages of a large population of college students are approximately normally distributed with a mean of 2.4 and

a standard deviation of 0.8.What is the probability that a randomly selected student will have a grade point average in excess of 3.0?
Round your answer to 4 decimal places.
Mathematics
1 answer:
ivanzaharov [21]2 years ago
4 0

Answer:

0.2266

Step-by-step explanation:

We know that the grade point averages of a large population of college students are approximately normally distributed with a mean of 2.4 and a standard deviation of 0.8. The z-score related to 3.0 is computed as (3.0-2.4)/0.8 = 0.75. Therefore the probability that a randomly selected student will have a grade point average in excess of 3.0 is P(Z > 0.75) where Z comes from a standard normal distribution. So, P(Z > 0.75) = 0.2266

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