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Define a random variable by the following procedure. Flip a fair coin. If it comes up heads, the value is 1. If it comes up

Define a random variable by the following procedure. Flip a fair coin. If it comes up heads, the value is 1. If it comes up tails, roll a die: if the outcome is 2 or 3, the value of the random variable is 2. Otherwise, the value is 3.

(a) What is the probability distribution of this random variable? (b) What is the cumulative distribution of this random variable?

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