A cony has been experiencing. mean of 35 5 motor vehicle dote each year. Use the

Question

A cony has been experiencing. mean of 35 5 motor vehicle dote each year. Use the following Find the mean number of deaths per day Find the probability that on a given day. there arc more than 2 motor vchicic deaths. is it unusual to have more than 2 motor vchicic deaths on the same day? Why or why not? Yes it is unusual The probability of there being more than two motor vchicic deaths on the um day is less thaï I.Yes it is unusual Ihc probability of there being more than two motor vchicic deaths on the same day is very snail.No. it is not unusual The probability of there being more than two mo!or vehick deaths on the same day is very small No, it is not unusual The probability of there being more than two motor vehicle deaths on the same day is greater than 0.

Explanation / Answer

A)

There are 365 days a year, so

u = 35.5/365 = 0.097260274 deaths per day [ANSWER]

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b)

Note that P(more than x) = 1 - P(at most x).          
          
Using a cumulative poisson distribution table or technology, matching          
          
u = the mean number of successes =    0.097260274      
          
x = our critical value of successes =    2      
          
Then the cumulative probability of P(at most x) from a table/technology is          
          
P(at most   2   ) =    0.999857422
          
Thus, the probability of at least   3   successes is  
          
P(more than   2   ) =    0.000142578 [ANSWER]

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c)

As P < 0.05, then

OPTION B: Yes, it is unusual. The probability of being more than 2 mototr vehicle deaths on the same day is very small. [ANSWER, B]

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