The area of the shaded region will be 0.6293.
What is a normal distribution?
A continuous probability distribution for a random variable with a real value is known as a "normal distribution" in statistics.
Given that the graph to the right depicts the IQ scores of adults, those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region will be calculated as below:-
P(X > 95)
= P [ z > ( 95 - 100 ) / 15 ]
= P [ z > ( -5 / 15 ) ]
= P(z > -0.33)
= 1 - P(z ≤ -0.33)
= 1 - 0.3707
= 0.6293
Therefore, the area of the shaded region will be 0.6293.
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