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# 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:

A

ii, iii, iv, i, v

B

v, i, iv, ii, iii

C

iv, i, ii, iii, v

D

v, i, ii, iv, iii

E

The order cannot be determined