Question

z | probability
0.00 | 0.5000
1.00 | 0.8413
2.00 | 0.9772
3.00 | 0.9987
options:
0.14
0.16
0.86
0.98

Explanation:

Step1: Identify target probability range

The shaded area is $P(1 < z < 2)$. This equals $P(z < 2) - P(z < 1)$.

Step2: Substitute table values

From the table, $P(z < 2)=0.9772$ and $P(z < 1)=0.8413$.
Expression: $0.9772 - 0.8413$

Step3: Calculate the difference

Compute the subtraction to find the area.
Expression: $0.9772 - 0.8413 = 0.1359$

Step4: Round to match options

$0.1359$ rounds to $0.14$.

Answer:

0.14