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# Question 1. Consider the experiment of rolling pair of fair dice. If 11 represents the value Ohl the first die and 12 represents the value OH the second die. let Y ...

## Question

###### Question 1. Consider the experiment of rolling pair of fair dice. If 11 represents the value Ohl the first die and 12 represents the value OH the second die. let Y = X1 + Xz and Z = Ii - Xzl: Find the marginal probability mass functions of Y and Z. (10 pts Find the conditional probability that Y _ 7 given that Z = 3 5 pts) Find the conditional expectation of Y given that Z = 3. (5 pts)

Question 1. Consider the experiment of rolling pair of fair dice. If 11 represents the value Ohl the first die and 12 represents the value OH the second die. let Y = X1 + Xz and Z = Ii - Xzl: Find the marginal probability mass functions of Y and Z. (10 pts Find the conditional probability that Y _ 7 given that Z = 3 5 pts) Find the conditional expectation of Y given that Z = 3. (5 pts)

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