Discrete Joint Probability Distribu

5 important questions on Discrete Joint Probability Distribu

What does h(x, y) represent in probability theory?

h(x, y) signifies a joint probability density function which expresses:
- P(X = x, Y = y)

How is the joint pdf often presented?

It is typically displayed in a table format with:
  • Rows for X values
  • Columns for Y values

What are the two important characteristics of a joint pdf?

The joint pdf must satisfy two conditions:
  1. Total probabilities equal 1
  2. All probabilities are greater than or equal to 0
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How can the expectation of X be calculated?

The expectation of X is represented as E(X) and is calculated by:
- Summing the products of values and probabilities

What does the table showing joint probabilities include?

The table presents P(X, Y) values arranged by:
  • Multiple X values
  • Multiple Y values

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