4. (9 marks) Suppose that we have 100 apples. In order to determine the integrity of the entire batch of apples, we care

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4 9 Marks Suppose That We Have 100 Apples In Order To Determine The Integrity Of The Entire Batch Of Apples We Care 1 (23.24 KiB) Viewed 12 times

4. (9 marks) Suppose that we have 100 apples. In order to determine the integrity of the entire batch of apples, we carefully examine n randomly-chosen apples; if any of the apples is rotten, the whole batch of apples is discarded. Suppose that 50 of the apples are rotten, but we do not know this during the inspection process. (a) Calculate the probability that the whole batch is discarded for n = 1,2,3,4,5,6. (b) Find all values of n for which the probability of discarding the whole batch of apples is at least 99% 99 100