1. A die is thrown twice. Let X₁ and X₂ denote the outcomes of first and second dices respec- tively. Define X = 3 ⋅ max(X₁; X₂) — 1. (a) Find the probability density function and cumulative distributional function of X. (b), (c) Draw a cumulative distributional function. Find the mean and median of X.

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1. A die is thrown twice. Let X₁ and X₂ denote the outcomes of first and second dices respec-
tively. Define X = 3. max(X₁; X₂) - 1.
(a)
Find the probability density function and cumulative distributional function
of X.
(b),
(c)
Draw a cumulative distributional function.
Find the mean and median of X.
Transcribed Image Text:1. A die is thrown twice. Let X₁ and X₂ denote the outcomes of first and second dices respec- tively. Define X = 3. max(X₁; X₂) - 1. (a) Find the probability density function and cumulative distributional function of X. (b), (c) Draw a cumulative distributional function. Find the mean and median of X.
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