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The Federal Bureau of Investigation (FBI) trains sniffer dogs to find explosive material. At the end of the training, Maggie, the FBI's prize dog, is let loose in a field with four unmarked parcels, one of which contains the Semtex explosive. An experiment is performed 10 times to see if Maggie correctly identifies the correct parcel. Maggie correctly identifies the correct parcel 8 of the 10 times. Is Maggie better than an untrained dog? Assume that an untrained dog has a probability of 0.25 of successfully identifying a parcel containing explosives. Find the probability of an untrained dog performing as well as Maggie. Is it unusual for an untrained dog to do as well as Maggie?

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