How different crypto exchange correlate with prices

How different crypto exchange correlate with prices

I did searched on how the crypto exchange works, However I do not find the exact answer to my questions.

Let's assume we are talking about two exchanges - Exchange A - USA based, local (i.e. users kyc based on US identity card like SSN). Exchange B - Indian based, (i.e. users kyc based on indian identity card like Adhaar)

So Exchange A will have only US users and B will have only Indian users. Now if US people are believing that bitcoin price will rise and purchase a lot of bitcoin and price increases by some %, how it will affect the price in exchange B? As 90% of Exchange B users will be sleeping and will not know that price on exchange A is increasing, how it will relate?

Will any user on Exchange B ever be able to purchase bitcoin from any user of exchange A??

The above scenario also make me question how will the very first user of exchange B will buy and from whom will it buy the bitcoin

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