Use the Poisson model to approximate the probability. Round your answer to four decimal places.
-The probability that a car will have a flat tire while driving through a certain tunnel is 0.00004. Use the Poisson distribution to approximate the probability that among 11,000 cars passing through this tunnel, at most two will
Have a flat tire.
A) 0.9898
B) 0.0726
C) 0.0623
D) 0.9377
E) 0.9274

Question

Quizplus · Accepted Answer

The average number of flat tires (λ) is 11,000 * 0.00004 = 0.44. Using the Poisson distribution, P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2). Calculating these probabilities and summing them gives approximately 0.9898.

Use the Poisson Model to Approximate the Probability