Question: 1) Please answer with R code One nanogram of Plutonium-239 will have an average of 2.3 radioactive decays per second, and the number of decays

1) Please answer with R code

One nanogram of Plutonium-239 will have an average of 2.3 radioactive decays per second, and the number of decays will follow a Poisson distribution.

  1. What is the mean and variance of the distribution of the number of radioactive decays per second?
  2. What is the probability that in a one-second period there are exactly 3 radioactive decays?
  3. What is the probability that in a one-second period there are 2 or less radioactive decays?
  4. What is the probability that in a one-second period there are more than 2 radioactive decays?
  5. What is the probability that in a one second period there are between 2 or 3 radioactive decays?

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