Use the appropriate probability model (Poisson).
-For quality control purposes, a company that manufactures copper sheets routinely
Takes samples from its production process. Since its product is often used for decorative
Purposes, one inspection check involves counting the number of imperfections or flaws
On sheets that measure 36 sq. ft. Suppose the average number of imperfections per sheet
Of this size is 3. What is the probability that a sheet of this size has 2 imperfections?
A) 0.2240
B) 0.4232
C) 0.2510
D) 0.4591
E) 0.1365

Question

Quizplus · Accepted Answer

The probability of observing k events in a Poisson distribution is given by $ P(X = k) = \frac{e^{-\lambda} \lambda^k}{k!} $. Here, $ \lambda = 3 $ and $ k = 2 $. Calculating gives $ P(X = 2) = \frac{e^{-3} \cdot 3^2}{2!} = 0.2240 $.

Use the Appropriate Probability Model (Poisson)