For a normal distribution with µ = 500 and ? = 100, find the following values:
a. What X value separates the highest 10% of the distribution from the rest of the scores?
b. What X values form the boundaries for the middle 60% of the distribution?
c. What is the probability of randomly selecting a score greater than X = 475?
a. z= 1.28 X = 628
b. z = ±0.84 X = 416 to 584
c. z = –0.25 p = 0.5987
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