(b) Suppose that the actual value of µ is 4 accidents/month. Find (i) the probability of obtaining a value as large as, or larger than 7 on any given month. (ii) the mean and variance of the total number of accidents likely to be reported during a full year.

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6 (a) The number of reported traffic accidents at a dangerous crossroads each month is
believed to follow a Poisson distribution, Poi(4). Seven accidents occur during a particular
month. Estimate µ, giving approximate error bounds (± 2 x standard error).
(b) Suppose that the actual value of u is 4 accidents/month. Find
(i) the probability of obtaining a value as large as, or larger than 7 on any given month.
(ii) the mean and variance of the total number of accidents likely to be reported during
a full year.
Transcribed Image Text:6 (a) The number of reported traffic accidents at a dangerous crossroads each month is believed to follow a Poisson distribution, Poi(4). Seven accidents occur during a particular month. Estimate µ, giving approximate error bounds (± 2 x standard error). (b) Suppose that the actual value of u is 4 accidents/month. Find (i) the probability of obtaining a value as large as, or larger than 7 on any given month. (ii) the mean and variance of the total number of accidents likely to be reported during a full year.
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