Hello. I have some questions for Random Variables. Any hint/solve is enough for me. Thank You!
1. Consider the experiment of throwing a fair die. Let be the r.v which assigns 1 if the number that appears is even and 0 if the number that appears is odd.
(a) What is the range of ?
(b) Find PMF and CDF of the r.v ?
(c) Find the probability of the event that the number that appears is odd.
(d) Find expected value and variance.
2. Let . Find the pdf of Y if X is a uniform r.v over (- 1, 2).
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