Question

step 4
use the probabilities determined in the previous step to calculate ( p(-1.15 leq z leq 1.84) ).
( \begin{align} p(-1.15 leq z leq 1.84) &= p(z leq 1.84) - p(z leq -1.15) \\ &= 0.9671 - 0.1251 \\ &= square end{align} )

Explanation:

Step1: Substitute the values

We know that \( P(-1.15 \leq z \leq 1.84)=P(z \leq 1.84)-P(z \leq -1.15) \), and we have \( P(z \leq 1.84) = 0.9671 \) and \( P(z \leq -1.15)=0.1251 \).

Step2: Perform the subtraction

Subtract the two probabilities: \( 0.9671 - 0.1251 \)
\[
0.9671- 0.1251=0.8420
\]

Answer:

\( 0.8420 \)