Approximation of binomial model

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The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005 per month. If there are 14,000 cars passing through this tunnel every month, using MiniTab to calculate and answer:

a) The probability of exactly of two cars will have a float tire every month using binomial distribution.

b) The probability of no more than 5 cars will have flat tire every month.

c) The probability in a) using Poisson approximation

d) The probability in b) using Poisson approximation

e) Does the two modal calculations above match with each other? Explain the condition where Poisson is a good approximation of Binomial model.

Reference no: EM132852785

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