Answer:
0.6065
Step-by-step explanation:
Probability mass function of probability distribution : [tex]P(X=x)=\frac{e^{-\lambda} \times \lambda^x}{x !}[/tex]
a mean of 0.05 flaw per square foot
Each car contains 10 sq.feet of the plastic roll
Mean = 0.05
Mean = [tex]\lambda = 0.05 \times 10=0.5[/tex]
We are supposed to find What is the probability that there are no flaws in a given car’s interior i.e,P(X=0)
Substitute the value in the formula
[tex]P(X=0)=\frac{e^{-0.5} \times (0.5)^0x}{0 !}[/tex]
[tex]P(X=0)=\frac{e^{-0.5} \times (0.5)^0}{1}[/tex]
[tex]P(X=0)=0.6065[/tex]
Hence the probability that there are no flaws in a given car’s interior is 0.6065
