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Sagot :
Answer:
99.7% of the students have grade point averages that are between 1.42 and 3.7
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 2.56 and standard deviation of 0.38.
Using the empirical rule, what percentage of the students have grade point averages that are between 1.42 and 3.7?
1.42 = 2.56 - 3*0.38
3.7 = 2.56 + 3*0.38
So both these scores are within 3 standard deviations of the mean, which means that 99.7% of the students have grade point averages that are between 1.42 and 3.7
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