Question

The number of weaving errors in a twenty foot by ten foot roll of carpet has a mean of 0.8. What is the probability of observing more than 2 errors in the carpet

Answer 1

0.0474

Explanation:

mean = \mu = 0.8

Using the Poisson probability formula,

P(X = x) = (e-\mu * \mux ) / x!

P(X > 2) = 1 - P(x \le 2)

= 1 - P(x = 0) - P(x = 1) - P(x = 2)

= 1 - (e^-0.8 * 0.80 ) / 0! - (e^-0.8 * 0.8^1 ) / 1! - (e^-0.8 * 0.8^2 ) / 2!

= 0.0474

So, the answer is 0.0474