Final answer:
The Normal Distribution, described as a symmetrical bell-shaped curve, is used for continuous random variables, with the Standard Normal Distribution being a special case with a mean of zero and standard deviation of one.
Step-by-step explanation:
The distribution used for continuous random variables is the Normal Distribution, which can be described as a symmetrical bell-shaped curve representing continuous data.
Characteristics of the Normal Distribution include its continuous nature, where the variable can take any value within a given range, and the total area under the curve is one. Its parameters are the mean (μ) and standard deviation (σ), with the special case of the Standard Normal Distribution having a mean of zero and a standard deviation of one.
Other distributions, such as the Binomial Distribution, are for discrete random variables and the Uniform Distribution denotes an equal probability for every continuous outcome within a specified range. The Poisson Distribution is also for discrete variables, specifically for the number of events in a fixed interval.