Solution:
lambda (λ) is the mean number of events within a given interval of time or space.
[tex]\begin{gathered} \lambda=0.4(\frac{1200}{100}) \\ \\ \lambda=4.8 \end{gathered}[/tex]Also, given;
[tex]x=5[/tex]Thus, the probability is;
[tex]P(X=x)=e^{-\lambda}\cdot\frac{\lambda^x}{x!}[/tex]
Then;
[tex]\begin{gathered} P(5)=e^{-4.8}(\frac{4.8^5}{5!}) \\ \\ P(5)\approx0.1747 \end{gathered}[/tex]ANSWER: 0.1747
