Jason Yuhas
2022-01-17
Answered

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

Answered 2022-01-17
Author has **42** answers

Probability of no surfac flaw in interior of automobile is 0.52(2dp)

Explanation:

If$X\sim Po\left(\lambda \right)$ then $P(x=r)=\frac{{e}^{-\lambda}\cdot {\lambda}^{r}}{!r}$

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

$P(x=0)=\frac{{e}^{-0.66}\cdot {\left(\lambda \right)}^{0}}{!0}=0.516851$

Probability of no surface flaw in interior of automobile is 0.52 (2dp)

Explanation:

If

Let automobile interior contains 11 ft of plastic roll.

For no surface flaw r=0

Probability of no surface flaw in interior of automobile is 0.52 (2dp)

Navreaiw

Answered 2022-01-18
Author has **34** answers

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