Final answer:
The least probable value in the given population distribution of women's heights with a mean of 5 feet 6 inches would be a height that is significantly different from the mean, such as a height of 4 feet or a height of 7 feet.
Step-by-step explanation:
In this question, we are given a population distribution of women's heights with a mean of 5 feet 6 inches. To determine the least probable value, we need to consider the range of the distribution.
Since the mean is 5 feet 6 inches and the heights can vary around the mean, the values that are farther away from the mean are less probable.
For example, heights that are much shorter or much taller than the mean are less likely to occur. So, the value that is least probable would be a height that is significantly different from the mean, such as a height of 4 feet or a height of 7 feet.
These values are uncommon and therefore less probable in the given population distribution.