A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 2 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Round your answers to 3 decimals. a. Find the probability that no particle arrives in a particular one minute period. b. Find the probability that at least one particle arrive in a particular one minute period.

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A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 2 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution.

Round your answers to 3 decimals.

a. Find the probability that no particle arrives in a particular one minute period.

b. Find the probability that at least one particle arrive in a particular one minute period.

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