Aschool requires an entrance exam score that is in the top 3% of the population in order to be accepted. if an entrance exam has a mean of 500 and a standard deviation of 55, what is the minimum qualifying score to be accepted at the school?

a.) 396.05
b.) 396.60
c.) 603.40
d.) 603.95

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.