1 to be waiting for someone or something to arrive -- (人)が来るのを待っている, (物)が届くのを待っている
We’ve been expecting you.
2 to think that someone should do a particular thing -- ~することを求める
3 to be going to have a baby -- (赤ん坊を)産む予定だ
I’m expecting my first baby in May.
4 used to show that you think that something is true -- ~だろうと思う
‘Will you be coming to the party?’ ‘I expect so.’