Questions: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Round to four decimal places.
A. -0.0344
B. 0.4656
C. 0.0344
D. 0.9656
Transcript text: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Round to four decimal places.
A. -0.0344
B. 0.4656
C. 0.0344
D. 0.9656
Solution
Solution Steps
Step 1: Find the area to the left of z=1.82
Using a z-table or calculator, the area to the left of z = 1.82 is 0.9656.
Step 2: Find the area to the left of z=-1.82
Using a z-table or calculator, the area to the left of z = -1.82 is 0.0344.
Step 3: Find the area between z=-1.82 and z=1.82
Subtract the area to the left of z = -1.82 from the area to the left of z = 1.82: 0.9656 - 0.0344 = 0.9312
Final Answer: The final answer is $\boxed{0.9656}$