Question: 1 A new encyclopedia is published.It is 10000 pages long.Each page has a probability of 1/4000 of having a typo.What is the probability that there

1 A new encyclopedia is published.It is 10000 pages long.Each page has a probability of 1/4000 of having a typo.What is the probability that there will be no typos in this encyclopedia?Assume it is a Poisson distribution.Explain your work and how you got your answer.

2 On a certain rural fence, the number of birds sitting on the fence is nine per mile.What is the standard deviation for the number of birds sitting on the fence per mile?Assume the distribution is a Poisson distribution.Explain your work and how you got your answer.

3 In a certain town, the average person weighs 150 pounds with a standard deviation of 25 pounds. You then take a sample of 64 people.You then pick one person from this sample.What is the probability that the individual weighs more than 146 pounds?Explain your work and how you got your answer.

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