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Suppose that the number of drivers who travel between a particular origin and destination during a...

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Question

Basic Math

Suppose that the number of drivers who travel between aparticular origin and destination during a designated time periodhas a Poisson distribution with parameter μ = 20(suggested in the article \"Dynamic Ride Sharing: Theory andPractice\"†). (Round your answer to three decimal places.)

(a)

What is the probability that the number of drivers will be atmost 13?

(b)

What is the probability that the number of drivers will exceed26?

(c)

What is the probability that the number of drivers will bebetween 13 and 26, inclusive?

What is the probability that the number of drivers will bestrictly between 13 and 26?

(d)

What is the probability that the number of drivers will bewithin 2 standard deviations of the mean value?

Answer & Explanation Solved by verified expert
3.8 Ratings (650 Votes)
Poisson distribution is characterised by extremely low successprobability say p005That means there is large population ofdrivers commuting out of which the probability of particularoccurance is 005 Now inorder to find how large the population is we divide the mean by its    See Answer
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