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Q)In a food production process, packaged items are sampled as they come off a

production line. A random sample of 5 items from each large production batch is

checked to see whether each item is tightly packed. A batch will be accepted

immediately if all of these 5 items are tightly packed, and rejected immediately if at

least 3 items among the 5 are not tightly packed. Otherwise a second sample is taken

before making a decision.

Suppose that 80% of the items produced by the machine are tightly packed

a)When a second sample is to be taken, it also consists of 5 items. What is the

probability that in a combined sample of 10 items there are at least 8 tightly

packed?

Thanks.