Final answer:
The distribution with a mean of 18, median of 32, and mode of 45 is most likely positively skewed because the relationship among these statistics suggests that higher values stretch the distribution to the right.
Step-by-step explanation:
If the mean of a distribution is 18, the median is 32, and the mode is 45, then the distribution is most likely positively skewed. This is because, in a positively skewed distribution, the mode is often less than the median, which is less than the mean. This relationship shows that higher values are stretching the distribution to the right, creating a long tail in that direction. It is not likely to be normally distributed, because in such a distribution, the mean, median, and mode would be approximately the same. The distribution is unlikely to be negatively skewed since this involves the mean being less than the median and the mode, which is not the case here. Lastly, it is not bimodal as there is no indication of two distinct peaks.