When purchasing bulk orders of$$ batteries, a toy manufacturer uses this acceptance sampling$$ plan: Randomly select and test $52$ batteries and determine whether each is within specifications. The entire shipment is accepted if at most $3$ batteries do not meet specifications. A shipment contains $6000$batteries$,$ and $3\%$ of them do not meet specifications. What is the probability that this whole shipment will be$$ accepted? Will almost all such shipments be$$ accepted, or will many be$$ rejected?