SOLUTION: Assume that the salaries of elementary school teachers in the United States are normally distribured with a mean of $32,000 and a standard deviation of $3,000. If a teacher is sele

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Question 78632This question is from textbook Elementary Statistics
: Assume that the salaries of elementary school teachers in the United States are normally distribured with a mean of $32,000 and a standard deviation of $3,000. If a teacher is selected at random, find the probability that he or she makes more than $36,000.This question is from textbook Elementary Statistics

Answer by stanbon(48558) About Me  (Show Source):
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Assume that the salaries of elementary school teachers in the United States are normally distribured with a mean of $32,000 and a standard deviation of $3,000. If a teacher is selected at random, find the probability that he or she makes more than $36,000.
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Find the z-score of 36000
z(26000)=(36000-32000)/3000=1.3333...
P(x>36000)=P(z>1.333)=0.0913
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Cheers,
Stan H.