5 Tina is a traffic warden. The number of parking tickets she issues per day, from Monday to Saturday inclusive, may be modelled by a Poisson distribution with mean 11.5. By using suitable approximating distributions, find (i) the probability that on a particular Tuesday she issues at least 15 parking tickets (ii) the probability that during any week (excluding Sunday) she issues at least 50 parking tickets (iii) the probability that during four consecutive weeks she issues (a) at least 50 parking tickets each week (b) at least 200 parking tickets altogether. Account for the difference in the two answers.
5 Tina is a traffic warden. The number of parking tickets she issues per day, from Monday to Saturday inclusive, may be modelled by a Poisson distribution with mean 11.5. By using suitable approximating distributions, find (i) the probability that on a particular Tuesday she issues at least 15 parking tickets (ii) the probability that during any week (excluding Sunday) she issues at least 50 parking tickets (iii) the probability that during four consecutive weeks she issues (a) at least 50 parking tickets each week (b) at least 200 parking tickets altogether. Account for the difference in the two answers.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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Transcribed Image Text:5 Tina is a traffic warden. The number of parking tickets she issues per day, from
Monday to Saturday inclusive, may be modelled by a Poisson distribution with
mean 11.5. By using suitable approximating distributions, find
(i) the probability that on a particular Tuesday she issues at least 15 parking
tickets
(ii) the probability that during any week (excluding Sunday) she issues at least
50 parking tickets
(iii) the probability that during four consecutive weeks she issues
(a) at least 50 parking tickets each week
(b) at least 200 parking tickets altogether.
Account for the difference in the two answers.
Transcribed Image Text:5 (i) 0.188.
(ii) 0.9906
(iii) (a) 0.9629
(b) 1.0000
Four lots of 50 is only one of many ways to make
200, so you would expect the probability in part
(b) to be higher than that in part (a).
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