Final answer:
The formula for the standard deviation with X and Y of a probability table is σ = √(Σ(x-µ)²P(X)).
Step-by-step explanation:
Standard deviation is a measure of the amount of variation or dispersion in a set of values. It is a statistical concept that provides a way to quantify the spread of data points around the mean (average) of a dataset. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range.
The formula for the standard deviation with X and Y of a probability table is represented as:
σ = √(Σ(x-µ)²P(X))
In this formula, x represents the values of the random variable X, µ is the mean of X, P(X) represents the corresponding probability, and Σ represents the sum of all products (x-µ)²P(X).