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Answer:
The joint probability mass function table is provided below.
Step-by-step explanation:
The experiment consist of drawing 3 balls from an urn containing 5 white and 8 red balls.
The random variable <em>Xi</em> is defined as follows:
<em>Xi</em> = 1; if the ith ball is white
<em>Xi</em> = 0; otherwise.
Then <em>X</em>₁ = the 1st ball is white and <em>X</em>₂ = the 2nd ball is white.
The sample space is as follows:
S = {(X₁ = 0, X₂ = 0), (X₁ = 0, X₂ = 1), (X₁ = 1, X₂ = 0), (X₁ = 1, X₂ = 1)}
Compute the probability of each event in the sample space as follows:
The joint probability mass function table is provided below.
