Question

Using the Poisson distribution function, if 1.1 accidents can be expected at a certain intersection every day, what is approximately the probability that there will be three accidents at that intersection on any given day?

a) 0.048

b) 0.7685

c) 0.0738

d) 0.4212

e) None of the Above

Answer 1

We know Poisson distribution PDF is

Where we have given

1.1 accidents can be expected at a certain intersection every day

m = parameter in Poisson distribution = 1.1

We have given X = 3 because There will be three accidents at that intersection on any given day

Round to 4 decimal place

Final answer :-

Correct choice is (c)

0.0738