If tubing averages 16 defects per 100 meters,what is the probability of finding exactly 2 defects in a randomly chosen 10-meter piece of tubing?
A)0.8795
B)0.2674
C)0.3422
D)0.2584

Question

Quizplus · Accepted Answer

The problem follows a Poisson distribution with λ = 1.6 (since 16 defects per 100 meters translates to 1.6 defects per 10 meters). The probability of finding exactly 2 defects is calculated using the Poisson probability formula: P(X=k) = (e^(-λ) * λ^k) / k!. Plugging in the values, P(X=2) = (e^(-1.6) * 1.6^2) / 2! = 0.2584.

If Tubing Averages 16 Defects Per 100 Meters,what Is the Probability