Let be a probability distribution on the states of nature.

To find the joint probability distribution, we need more data.

"Have you ever seen a graph of something called a probability distribution?"

Both are important for the full description of the probability distribution.

They are also less affected by the choice of probability distribution.

We are not told any joint probability distribution of the two numbers.

A probability distribution says how many times it should have occurred.

How do you calculate the average of a probability distribution?

The goal of learning in general is to learn entire probability distributions.

As a matter of fact, it can be quite demanding to get data from this particular probability distribution.

It also determines the probability distribution function of the energy.

Thus each action is defined by a probability distribution across these four outcomes.

Finally, some work has been done on investigating the probability distribution used to control selection.

The 3 terms in the equation above are all probability distributions.

Expected value, the mean of a random variable's probability distribution.

However, these functions play a significant role in the resulting probability distribution.

Suppose S is a space of all probability distributions with common support.

Probability distributions were based on past history, often using national averages.

The image of the random structure function is a probability distribution.

A language model is a probability distribution over entire sentences or texts.

In fact, it does not correspond to any unique probability distribution.

A probability distribution can be viewed as a partition of a set.

There is not enough information to build probability distributions for the inputs.

So now we have a probability distribution on that is independent of .