Suppose that the number of drivers who travel between a particular origin and de

Question

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"). (Round your answer to three decimal places.) (a) What is the probability that the number of drivers will be at most 18? (b) What is the probability that the number of drivers will exceed 29? (c) What is the probability that the number of drivers will be between 18 and 29, inclusive? What is the probability that the number of drivers will be strictly between 18 and 29? (d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value? You may need to use the appropriate table in the Appendix of Tables to answer this question

Explanation / Answer

From the statistical software calculator, the required probabilities are:

a) 0.381

b) 0.022

c) 0.681

0.745

d) 0.944

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