# The number of surface flaws in a plastic roll used

The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.06 flaw per square foot of plastic roll. What is the probability that there are no surface flaws in an auto’s interior?
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Orlando Paz
Probability of no surfac flaw in interior of automobile is 0.52(2dp)
Explanation:
If $X\sim Po\left(\lambda \right)$ then $P\left(x=r\right)=\frac{{e}^{-\lambda }\cdot {\lambda }^{r}}{!r}$
Let automobile interior contains 11 ft of plastic roll.
$\lambda =0.06$ / foot of roll. $\lambda =0.06\cdot 11=0.66$ for 11 ft of plastic roll.
For no surface flaw r=0
$P\left(x=0\right)=\frac{{e}^{-0.66}\cdot {\left(\lambda \right)}^{0}}{!0}=0.516851$
Probability of no surface flaw in interior of automobile is 0.52 (2dp)
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Navreaiw
Let X be the number of surface flaws in a cars