Find the indicated IQ score The graph to the right depicts I

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. (Round answer to one decimal place as needed)

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Solution

Mean ( u ) = 100
Standard Deviation ( sd )=15
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
      
          
P ( Z > x ) = 0.8
Value of z to the cumulative probability of 0.8 from normal table is -0.84
P( x-u/ (s.d) > x - 100/15) = 0.8
That is, ( x - 100/15) = -0.84
--> x = -0.84 * 15+100 = 87.4

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard dev

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