SOLUTION: Suppose that the number of cars arriving in 1 hour at a busy intersection is a Poisson probability distribution with λ = 100. Find, using Chebyshev’s inequality, a lower bound f

Question 1178059: Suppose that the number of cars arriving in 1 hour at a busy intersection is a Poisson probability distribution with λ = 100. Find, using Chebyshev’s inequality, a lower bound for the probability that the number of cars arriving at the intersection in 1 hour is between 70 and 130.
Thank you :)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
For the Poisson distribution, , and , and so .
Chebyshev's theorem says that .
==> , and k has to be determined.
is the same as , or .
This implies that k = 3. We then get .
Therefore a lower bound for probability of cars arriving at the intersection in 1 hour is between 70 and 130 is .

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