Final answer:
The z-score with an area of 0.67 to its left is approximately 0.44, therefore the correct answer is option a (0.44).
Step-by-step explanation:
To find the z-score that has an area of 0.67 to its left under the normal distribution curve, we can use a z-table. A z-table provides the area to the left of a particular z-score in a standard normal distribution.
When looking up the area 0.67 in a z-table, we find that it corresponds to a z-score that is a little bit larger than 0.44. The exact z-score for an area of 0.67 is approximately 0.44. Therefore, option a (0.44) would be the correct choice.