3.5%of samples that are tested for a particular disease return a positive result.To savetime (and money)the pathologists pool the samples in batches of 10 and test the wholebatch.If the batch returns a negative result,they do not need to test each of the 10samples one by one.But if the batch returns a positive result,it means that at leastone sample in the batch is positive,and all 10 samples need to be tested.Let X be the number of positive samples in a batch of 10,and Y be the number ofbatches that are tested until the first postive result.(a)Name the probability distribution of X and specify its parameter(s).(b)Calculate the probability that a batch returns a positive result.

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