The type of selection described in your question is stabilizing selection. In this case, medium brown fur provides a survival advantage, whereas both light brown and dark brown fur are less favorable, leading to a decrease in those traits over time.
The distribution curve for the mouse population under stabilizing selection would be a tall, narrow peak in the center of the graph, indicating that most individuals have medium brown fur, while there are fewer individuals with light or dark brown fur.
Thus, the correct response is: stabilizing; a tall, narrow peak in the center of the graph.