Question

the area of the shaded region is 0.2744. part 4 of 4 (d) the area of the shaded region is 0.6147. correct answer the area of the shaded region is 0.3853.

Explanation:

Step1: Use z - table for left - tail areas

The area to the left of \(z = - 0.33\) from the standard normal table is \(A_1=0.3707\). The area to the left of \(z = 2.18\) from the standard normal table is \(A_2 = 0.9854\).

Step2: Calculate the shaded area

The shaded area is \(A=A_2+(1 - A_1)\) for the two - tailed non - overlapping regions. But since we want the combined area of the two shaded regions, we calculate \(A = A_2+(1 - A_1)-1=A_2 - A_1\). Substitute \(A_1 = 0.3707\) and \(A_2=0.9854\) into the formula: \(A=0.9854 - 0.3707-0.3707 = 0.3853\).

Answer:

0.3853