Question

Find the area of the shaded region. 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

Answer 1

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)

= $P(z > \frac{95 - 100}{15})$

= $P(z > \frac{-5}{15})$

= P(z > -0.33)

= 1 - P(z ≤ -0.33)

= 1 - 0.3707

= 0.6293

∴ we get

Area of the Shaded Region = 0.6293