expectation vs belief

expectation and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
expectation	Yes	No	No	No
belief	Yes	No	No	No

As nouns, belief is a hypernym of expectation; that is, belief is a word with a broader meaning than expectation:

expectation (noun)	belief (noun)
belief about (or mental picture of) the future	any cognitive content held as true
the sum of the values of a random variable divided by the number of values	a vague idea in which some confidence is placed
the feeling that something is about to happen
anticipating with confidence of fulfillment