〜はず
should be, is supposed to
Plain form + はずだ · Noun + のはず · な-adj + なはず
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はず is an expectation based on reasoning or what you know: 田中さんはもうすぐ来るはずです, "Mr Tanaka should be here soon" (he said he'd come, he's always on time).
Nouns take の (三時からのはず) and な-adjectives take な (上手なはず).
The negative はずがない means "can't possibly": そんなはずはありません, "that can't be right".
Compare its neighbours: でしょう is a plain guess, かもしれない is a possibility, and はず is "if everything's as I understand it, then…". Past はずだった is "was supposed to", often when something didn't go to plan.
Examples
田中さんはもうすぐ来るはずです。
Mr Tanaka should be here soon.
荷物は明日着くはずです。
The parcel should arrive tomorrow.
会議は三時からのはずです。
The meeting is supposed to start at three.
そんなはずはありません。
That can't be right.
日本に十年住んでいたから、日本語が上手なはずだ。
He lived in Japan for ten years, so his Japanese must be good.