Question 1205390: The number of accidents per day on a particular stretch of
motorway follows a Poisson distribution with a mean of one. Find
the probabilities of 0, 1, 2, 3, 4 or more accidents on this stretch of
motorway on a particular day. Find the expected number of days
with 0, 1, 2, 3, 4 or more accidents in a one-year period (assuming
365 days per year). If the average cost of policing an accident is
£1000, find the expected cost of policing accidents on this stretch
of motorway for a year) What is the probability that the student
gets two correct answers?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! probability of:
0--0.3679
1--0.3679
2--0.1839
3--0.0613
4--0.0153
expected #days--multiply each of the above by 365
0-134
1-134
2-67
3-22
4-6
Cost is 1000*(134+134+66+24)) or 358,000 pounds
The sum of the individual products of the number*number of accidents
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