Consider the following two experiments: the first has outcome X taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome Y taking on the value 3 with probability and 4 with probability. Find the distribution of 1. Y + X. 2. Y - X.

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Q1 Solve both parts take your time as u want but give me correct answer please ❤
Problem 1
Consider the following two experiments: the first has outcome X taking on the values 0, 1,
and 2 with equal probabilities; the second results in an (independent) outcome Y taking on
the value 3 with probability and 4 with probability. Find the distribution of
1. Y + X.
2. Y - X.
Transcribed Image Text:Problem 1 Consider the following two experiments: the first has outcome X taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome Y taking on the value 3 with probability and 4 with probability. Find the distribution of 1. Y + X. 2. Y - X.
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