Answer:
Area of the Shaded Region = 0.6293
Explanation:
Given - 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.
Shaded region is 95.
To find - Find the area of the shaded region.
Proof -
As given that, Shaded region is 95
So,
Area of shaded region is
P(X > 95)
= [tex]P(z > \frac{95 - 100}{15})[/tex]
= [tex]P(z > \frac{-5}{15})[/tex]
= P(z > -0.33)
= 1 - P(z ≤ -0.33)
= 1 - 0.3707
= 0.6293
∴ we get
Area of the Shaded Region = 0.6293
