There are actually 2 auestions:
1)  Earthquakes at some location are Poisson distributed with 1 event
occuring every 4 days.  Find the probability that more then 100 events
occur in 1 year.  Do not use exponential approximation.

2)Prove the following things:
    a)  expected value of sample = expected value of population
    b)  standard deviation of the sample= standard deviation of
population / square root of n
    c)  Expected value of variance of sample = ?  derive step by step.
If any of this is unclear please ask.   Thank you.

---

Request for Question Clarification by rbnn-ga on 11 Oct 2002 20:03 PDT

I am afraid I do not quite understand 2b (or indeed most of problem 2:
what is a "sample" and what is a "population". Are there any
assumptions involved?  ) Usually the s.d. of a sample is higher than
the s.d. of a population, not lower, so I am sure I am
misunderstanding the terms.

By the way, because this is really 4 questions, it is possible you'd
have better luck getting an answer if the price to the question were
raised to account for the number of sub-parts.

---

Clarification of Question by brkyrhrt99_00-ga on 12 Oct 2002 08:04 PDT

basically for part 2 I need to find and prove expected value of the
sample and population and also standard deviation of the sample and
population and then somehow equate them

---

Clarification of Question by brkyrhrt99_00-ga on 12 Oct 2002 12:20 PDT

what I am talking about can also be seen on
http://mathforum.org/library/drmath/view/52723.html.