The correct answer is C. Beta distribution curve.
PERT analysis is a method used in project management to estimate the time and cost required to complete a project. It uses three time estimates for each activity: optimistic, pessimistic, and most likely. The beta distribution curve is a probability distribution that is used to represent these three time estimates. The beta distribution curve is skewed to the right, which means that the most likely time estimate is more likely to occur than the optimistic or pessimistic time estimates.
The Poisson distribution curve is a probability distribution that is used to represent the number of events that occur in a given interval of time. The Poisson distribution curve is skewed to the left, which means that the most likely number of events is less likely to occur than the number of events that are very close to the mean.
The normal distribution curve is a probability distribution that is used to represent the continuous random variables. The normal distribution curve is symmetrical, which means that the mean, median, and mode are all equal.
Therefore, the beta distribution curve is the most appropriate distribution to use in PERT analysis because it can represent the three time estimates for each activity.