Moderate# Discrete Random Variable and Probabilities

STATS-XZKCGK

Consider a random variable $X$ whose possible outcomes are given by 2, 4, 5 such that 2 and 4 are equally-likely with 5 being twice as likely to occur as the others.

Consider the following quantities:

i.$P(X=2)$

ii.Probability that the outcome of $X$ is 5.

iii.Probability that the outcome of $X$ is either a 2 or a 5.

iv.$P(X=2 \hspace{.1in} and \hspace{.1in} X=4)$

v.The outcome when $X$ is carried out once.

Arranging these from least to greatest would yield: