Do the events of act 1 suggest that the ghost of hamlets father is real or just a product of hamlets imagination? Explain

The events in Act I suggest that the ghost of Hamlet's father is real.

Explanation:

In the play, Hamlet encounters a ghost of his father, who tells him that his father has been murdered by his uncle, Claudius, who is now the new king and who has married Hamlet's mother. Hamlet also finds out that his mother was adulterous even before her husband's death.

The theory behind the ghost of Hamlet's father is open to different interpretation even today. It would, probably, make more sense to argue that the ghost is not a product of Hamlet's imagination. Although some of the critics claim that Hamlet has gone crazy due to the extreme sadness upon his father's death, and that the ghost is his hallucination, there is no hard evidence for this theory. Horatio, Marcellus, and Bernardo are actually the first characters to see the ghost (in Act I, Scene I), even before Hamlet does. It is not until Act I, scene IV, that Hamlet sees the ghost. As the witnesses discuss the appearance of the ghost among themselves, it implies that it is not a figment of Hamlet's imagination.  

you need to include the text. we have no idea what you are referring to

a pirate walks into a bar with a steering wheel sticking out of his pants.

bartender: isn't that uncomfortable?

pirate: arrgh! it's drivin' me nuts!