“Yahweh said to Moses and Aaron, ‘This is the ordinance for the Passover. No foreigners shall eat of it, but any slave who has been purchased may eat of it after he has been circumcised. No bound or hired servant may eat of it. It shall be eaten in one house. You shall not take any part of the animal outside the house. You shall not break any of its bones. The whole congregation of Israel shall celebrate it. If an alien who resides with you wants to celebrate the Passover to Yahweh, all his males shall be circumcised. Then he may draw to celebrate it. He shall be regarded as a native of the land. But no uncircumcised person shall eat of it. There shall be one law for the native and for the alien who resides among you.’ All the Israelites did just as Yahweh commanded Moses and Aaron. That very day Yahweh brought the Israelites out of the land of Egypt company by company.”
Coming from the priestly tradition there are more prescriptions about who can participate in the Passover. No foreigners could eat of it. However, a purchased circumcised slave may eat of it. You had to eat it in one house. You cannot take the Passover meal outside the house or break the bones of the animal. If an alien wants to partake, his whole household must be circumcised. It is strange that they were worried about non-Israelites partaking in Passover at this early stage. Obviously this is a later addition.