At à busy in tersecti on of roads, an ambulance occur with a frequency, on average accidents occur randomly, so that it may be assun Poisson distribution. Use a suitable approximating distribution to find particular year (of 52 weeks) the number of accide (i) at most 100

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4 (i) 0.7620
(ii) 0.0329
(iii) 0.3536
Transcribed Image Text:4 (i) 0.7620 (ii) 0.0329 (iii) 0.3536
4 At a busy intersection of roads, accidents requiring the summoning of
an ambulance occur with a frequency, on average, of 1.8 per week. These
accidents occur randomly, so that it may be assumed that they follow a
Poisson distribution.
Use a suitable approximating distribution to find the probability that in any
particular year (of 52 weeks) the number of accidents at the intersection will be
(i) at most 100
(ii) exactly 100
(ii) between 95 and 105 inclusive.
Transcribed Image Text:4 At a busy intersection of roads, accidents requiring the summoning of an ambulance occur with a frequency, on average, of 1.8 per week. These accidents occur randomly, so that it may be assumed that they follow a Poisson distribution. Use a suitable approximating distribution to find the probability that in any particular year (of 52 weeks) the number of accidents at the intersection will be (i) at most 100 (ii) exactly 100 (ii) between 95 and 105 inclusive.
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