Strength Fade to Zero - when checked, Strength (including Falloffs) will interpolate between 0 and the result. When unchecked it will interpolate between the Minimum and Maximum values.
Use Normals - when checked deformation will be based on the normals of the Shape. When unchecked points are scaled from the middle of the shape. Only relevant when used as a Deformer.
Minimum - set the minimum number to be generated
Maximum - set the maximum number to be generated
Seed - set the random seed
Offset - add/subtract a value to the output.
Separate Channels - generate different random values for x and y
Use Bias Graph - when enabled it allows you to set the probability of a random number via the Bias Graph.
Bias Graph - see Common Attributes.