Questions: Find the indicated z-scores shown in the graph. The z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Solution Steps

The area under the curve between _z_ = 0 and _z_ = ? is given as 0.4719.

We look for the z-score corresponding to a cumulative area of 0.5 + 0.4719 = 0.9719. In the z-table, the closest value to 0.9719 is 0.9719, which corresponds to a z-score of 1.91.

Since the graph is symmetric and the areas to the left and right of the mean (0) are equal, the two z-scores are equal in magnitude and opposite in sign.

Final Answer