SOLUTION: A standardized IQ test provides a normal distribution of scores with a mean of 100 and a standard deviation of 15 if a score was selected at random from all the people who have tak

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Question 852129: A standardized IQ test provides a normal distribution of scores with a mean of 100 and a standard deviation of 15 if a score was selected at random from all the people who have taken the test, which probability would be greater: selecting a score of less than 95 or selecting a score greater that 110? why?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note:
P(x>110)= P%28z%3E+%28110+-+100%29%2F.15+=+.6667%29++=+1-+.7475+=+.2525 0r 25.25%
P(x < 95) = P%28z+%3C+%2895-100%29%2F.15%29=+-.3333= .37+ 0r 37%
z = -.3333 and z = .6667 are on Opposite Extremes on the Bell shaped curve, z = 0 in the middle
z = -.3333 shows a Greater Area under the Curve to the Left than z = .6667 does to the right as the Probabilities show