2 \"Dynamic R Suppose that the number of drivers who travel between a particular

Question

2 "Dynamic R Suppose that the number of drivers who travel between a particular origin and destination during a designated t me period has a Poisson distribution with parameter Theory and Practice"*). (Round your answer to three decimal places.) suggested in the artic ha ing What is the probability that the number of drivers will be at most 13? 0.066 (a) (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 13 and 29, inclusive? What is the probability that the number of drivers will be strictly between 13 and 29 (d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value? 0.944 You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

= 20

P(x) = (e^-)(^x) / x!

(b) P(x > 29) = 1 - P(x 29) = 1 - 0.9782 = 0.022

(c) P(13 x 29) = P(13) + P(14) + ... + P(29) = 0.912

P(13 < x < 29) = P(14 x 28) = P(14) + P(15) + ... + P(28) = 0.861

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