Question

the area of the shaded region is 0.2744.

Explanation:

Step1: Use standard - normal table

We know that for a standard - normal distribution $Z\sim N(0,1)$, we want to find $P(-2.48

Step2: Look up values in the table

From the standard - normal table, $P(Z < - 0.58)=0.2810$ and $P(Z < - 2.48)=0.0066$.

Step3: Calculate the probability

$P(-2.48 < Z < -0.58)=P(Z < - 0.58)-P(Z < - 2.48)=0.2810 - 0.0066=0.2744$.

Answer:

$0.2744$