Find the area of the shaded region

Question

asked Aug 10, 2020 3.1k views

1 Answer

Lrente · Answer 1 · 2020-08-16T01:32:05+0000

Answer: Second Option

P (-1.17 <z <1.17) = 0.7580

Explanation:

The shaded area corresponds to the interval

-1.17 <z <1.17.

By definition, for a standard normal distribution the area under the curve in the interval (b <z <h) is equal to:

P (b <z <h)

So in this case we look for:

P (-1.17 <z <1.17)

This is:

P (-1.17 <z <1.17) = P (z <1.17) - P (z <-1.17)

Looking at the standard normal table we have to:

$P (z <1.17) = 0.8790\\P (z <-1.17) = 0.1210$

So:

$P (-1.17 <z <1.17) = 0.8790- 0.1210\\\\P (-1.17 <z <1.17) = 0.7580$