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

Algebra ->  Probability-and-statistics -> 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      Log On


   



Question 1178321: 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 Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The mean and the variance are the same for a Poisson distribution, so sd=10
this is between +/-3 sd s
So the lower bound of probability for the number of cars would be 1-(1/9) or 8/9.