Poisson distribution

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Intros
Lessons
  1. What is the Poisson Distribution?
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Examples
Lessons
  1. Determining the Poisson Distribution
    The number of meteors that hit the earth in a given day is modelled by a Poisson Distribution with λ=4\lambda=4. What is the probability that 5 meteors hit the earth in a day?
    1. When making a video I typically make 1 error for every 20 minutes of video time. If I make 45 minutes of video what is the probability that I make 3 errors?
      1. In a particular community the average person survives to age 100 with probability 0.005 (which is equivalent to 0.5%). If this community has 2,000 people, then what is the probability that 15 people in this community survive to age 100 using;
        1. The Binomial Distribution
        2. The Poisson Distribution
        3. Compare your previous two answers
      2. Cumulative Poisson Distribution
        On U.S. route 66 (an American highway) every car that travels this whole route has a probability of p=0.0002p=0.0002 of getting into a car accident. A total of 10,000 cars drive this route every month. What is the probability that there are fewer than 3 car accidents in a month?
        1. Determining the Poisson Distribution using Calculator Commands
          A fair coin is flipped 10 times, what is the probability using the Poisson Distribution commands on your calculator find,
          1. The probability that heads comes up 5 times?
          2. The probability that heads comes up 5 or less times?
          3. The probability that heads come up more than 7 times?