random variable vs variate

random variable and variate both are nouns.

Word	Noun	Adjective	Verb	Adverb
random variable	Yes	No	No	No
variate	Yes	No	No	No

As nouns, random variable and variate are synonyms defined as:

Other synonyms of random variable include chance variable, stochastic variable, variant.

random variable (noun)	variate (noun)
a variable quantity that is random	a variable quantity that is random