Answer:
[tex]P(X = 4) =0.133[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\x=0.6/100[/tex]
Flaws [tex]f=4[/tex]
Distance [tex]d_2=1000ft[/tex]
Generally the equation for Poisson mean lambda over 1000 is mathematically given by
[tex]\lambda=0.6*1000/100[/tex]
[tex]\lambda = 6[/tex]
Therefore
[tex]P(X = 4) = {e^-\lambda * \lambda^{\=x}} {{\=x}!}[/tex]
[tex]P(X = 4) =\frac{ e^{-6} * 6^4}{ 4!}[/tex]
[tex]P(X = 4) =0.133[/tex]
