Modal verbs
Deduction and speculation
We use might (not)
  + infinitive to say that something now or
  in the future is possible.
  -  Elvis might be alive.
    (= It's possible that Elvis is alive.) 
  - Elvis might not be dead. 
    (= It's possible that Elvis is not dead.) 
    
   
  - Elvis might live in New York. 
    (= It's possible that Elvis lives in New York.) 
We use must, might
  or can't + infinitive
  to speculate about situations in the present.
  - He must be alive.
    (= I am sure he is alive.) 
  - He might be alive.
    (= I think it is possible he is alive.) 
  - He can't be alive.
    (= I am sure he isn't alive.) 
We can also use might + infinitive
  to say that a future situation or action is possible.
  - I might go to New York in August. 
    (= It's possible I'll go to New York in August.) 
We can use must, might
  or can't + be + verb
  + -ing to speculate about activities in progress
  in the present and about temporary situations in the present.
  - Mary might be having lunch. 
    (= It's possible that Mary is having lunch.) 
Use must, might or
  can't + have + past
  participle to speculate about the
  past.
  
  - She must have been very unhappy. 
    (= I am sure that she was unhappy.) 
  
  - She might have arrived late. 
    (= It's possible that she arrived late.) 
  
  - He can't have heard the phone. 
    (= I am sure that he didn't hear the phone.)