Suppose that 10^6 people arrive at a service station at times that are independent random variables, each of which is uniformly distributed over (0,10^6). Let N denote the number that arrive in the first hour. Find an approximation for

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- November 15th 2009, 02:38 PMAnonymous1Uniform random variable question
Suppose that 10^6 people arrive at a service station at times that are independent random variables, each of which is uniformly distributed over (0,10^6). Let N denote the number that arrive in the first hour. Find an approximation for

- November 15th 2009, 02:46 PMMoo
Hello,

Consider the event : the customer arrives at the first hour, and its complementary : the customer doesn't arrive at the first hour.

Then we have a binomial distribution.

You can approximate it by a Poisson distribution (see here : Binomial distribution - Wikipedia, the free encyclopedia ) - November 15th 2009, 03:09 PMAnonymous1
I guess I'm just confused by the wording of the question. Is the probability that the customer arrives at the first hour

- November 15th 2009, 03:15 PMMoo
- November 15th 2009, 03:22 PMAnonymous1
Thanks.

So,

I'm only worried because my answer seems to simple. I don't need to use a summation from 0 to i, do I? - November 15th 2009, 03:27 PMMoo