Answer: D. 0.1217
Step-by-step explanation:
Given : The probability that a car will have a flat tire while driving through a certain tunnel :p=0.00005.
n= 14000
Then, 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
