Exercise 4.20

Answers

(a): This is not possible, since $Y$ has a non-zero probability of being a number larger than $100$ , where as $X$ is capped at $100$ .
(b): Let $X$ be the number of contestants who enter a tournament, and let $Y$ be the number of contestants who pass the first round. Clearly, $P (X \geq Y) = 1$ .
(c): This is not possible, because if $X$ always produces values smaller or equal to the values produced by $Y$ , then $E (X) \leq E (Y)$ . However, $E (X) = 90$ , and $E (Y) = 50$ .

fifthist

2021-12-05 00:00