The scores of a high school entrance exam are approximately normally distributed with a given mean mc023-1.jpg = 82.4 and standard deviation mc023-2.jpg = 3.3. what percentage of the scores are between 75.8 and 89? a.68% b.95% c.99.7% d.100%

We first calculate the z-scores for each boundary value: for x = 75.8, z = (75.8 - 82.4) / 3.3 = -2for x = 89, z = (89 - 82.4) / 3.3 = 2based on the 68-95-99.7 rule, 95% of the values are within 2 standard deviations of the mean, so since -2 < z < 2, then the percentage of values within this range is 95%. the correct choice is b.

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