Solution:
Given that,
mean = = 100
standard deviation = = 15
P(x > 115 )
= 1 - P (x < 115 )
= 1 - P ( x - / ) < ( 115 - 100 / 15 )
= 1 - P ( z < 15 / 15 )
= 1 - P ( z < 1)
Using z table
= 1 - 0.8413
= 0.1587
The area of shaded region is = 0.1587
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