The correct answer is: C. The particular activity involved.
Independent float is the amount of time that an activity can be delayed without delaying the project finish date. It is calculated as the difference between the total float and the sum of the free floats of all activities that follow the activity in question.
Free float is the amount of time that an activity can be delayed without delaying the start of any succeeding activities. It is calculated as the difference between the late finish date of the activity and its early start date.
Total float is the amount of time that an activity can be delayed without delaying the project finish date or the start of any succeeding activities. It is calculated as the difference between the late finish date of the activity and its early finish date.
As you can see, independent float is only affected by the activity itself, and not by any other activities in the project. This is because independent float is the amount of time that an activity can be delayed without delaying the start of any succeeding activities, and the start of succeeding activities is only affected by the early start date of the activity in question.
The other options are incorrect because they all suggest that independent float is affected by other activities in the project.
A. Preceding activities: Independent float is not affected by preceding activities, because the start of preceding activities is only affected by the early start date of the activity in question.
B. Succeeding activities: Independent float is not affected by succeeding activities, because the start of succeeding activities is only affected by the early start date of the activity in question.
D. None of the above: This option is incorrect because independent float is affected by the activity itself.