In a recent year, 11th grade New York public school

1. In a recent year, 11th grade New York public school students taking an English test produced test scores that were normally distributed with a mean of 81 and a standard deviation of 6. Let x be a random variable that represents a test score. What is the lowest score that would still place a student in the top 40% of the scores? 

2. The mean height of male college students in a large city is 68 inches and the standard deviation is 5 inches. What height would a male college student must have in order for the student's height to be the cutoff point for the 95th percentile? (What is the lowest height in the top 5%?)

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