Answer:
Given,
Number of accidents per day = 10
Let us consider,
Poisson distribution
Mean = 365*
= 365*10
= 3650
standard deviation = sqrt(n)
= sqrt(365*10)
= sqrt(3650)
= 60.42
Now to give P(X > 3800) = P((x - mu)/s > (3800 - 3650)/60.42)
= P(z > 2.483)
= 0.0065141 [since from z table]
= 0.0065
Hence the probability is 0.0065
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