The Antarctic petrel is an important indicator bird species, and researchers are interested in determining its...

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The Antarctic petrel is an important indicator bird species, and researchers are interested in determining its abundance in the Shetland Islands in Antarctica to measure the effects of global warming. According to the researchers, the islands present on average, 1.7 petrels per square meter. 14 researchers separately visited these islands on independent occasions and each counted the number of petrels over an area of 10m. Assume that the number of petrels per square meter follows a Poisson distribution. (a) For a researcher selected at random, what is the probability that they saw no petrels? (b) For a researcher selected at random, what is the probability that they saw at least one petrel? (c) what is the probability that exactly seven (out of the 14) researchers counted at least one petrel? Check The Antarctic petrel is an important indicator bird species, and researchers are interested in determining its abundance in the Shetland Islands in Antarctica to measure the effects of global warming. According to the researchers, the islands present on average, 1.7 petrels per square meter. 14 researchers separately visited these islands on independent occasions and each counted the number of petrels over an area of 10m. Assume that the number of petrels per square meter follows a Poisson distribution. (a) For a researcher selected at random, what is the probability that they saw no petrels? (b) For a researcher selected at random, what is the probability that they saw at least one petrel? (c) what is the probability that exactly seven (out of the 14) researchers counted at least one petrel? Check