Answer:
4.54 x 10⁻⁵
Step-by-step explanation:
If there is a mean of two cracks per mile, there is a n average of 10 cracks in five miles.
The probability mass function of a Poisson distribution is:
[tex]P(X=x) =\frac{\lambda^x*e^{-\lambda}}{x!}[/tex]
λ = 10 cracks in five miles
For x = 0 cracks, the probability is:
[tex]P(X=0) =\frac{10^0*e^{-10}}{0!} \\P(X=0)=4.54*10^{-5}[/tex]
The probability is 4.54 x 10⁻⁵.
