The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution to approximate the probability that among 14,000 cars passing through
 this tunnel, exactly two will have a flat tire.A.0.8783B.0.1947C. 0.1460D.0.1217

Answer: D. 0.1217Step-by-step explanation:Given : The probability that a car will have a flat tire while driving through a certain tunnel :p=0.00005. n= 14000Then, the mean number of cars will have a flat tire while driving through a certain tunnel = np[tex]=14000\times0.00005=0.7[/tex]Poisson Distribution Formula : [tex]P(x)=\dfrac{e^{-\lambda} \lambda^x}{x!}[/tex]For x= 2[tex]P(2)=\dfrac{e^{-0.7} (0.7)^2}{2!}=0.121663399429\approx0.1217[/tex]Hence, the required probability = 0.1217