Questions: The area of the shaded region is 0.2744

Solution Steps

The problem involves finding the area of the shaded region under a normal distribution curve between two z-scores.

For the first part:

• The z-scores are -2.48 and 0.58.
• The area of the shaded region is given as 0.7744.

For the second part:

• The z-scores are -0.33 and 2.18.
• The area of the shaded region needs to be determined.

To find the area of the shaded region between two z-scores, use a standard normal distribution table or a calculator.

1. Find the cumulative area to the left of z = -0.33.
2. Find the cumulative area to the left of z = 2.18.
3. Subtract the area found in step 1 from the area found in step 2.

Final Answer