Bottomline Ink, a forms management company, fills 100 orders a day with a 2% error rate in the completed orders. Assume this to be a binomial distribution.
What is the probability that there will be more than 5 order errors in a given day?
A) 0.1894
B) 0.4838
C) 0.9838
D) 2.1428
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The probability of more than 5 errors can be calculated using the binomial distribution formula. With n=100, p=0.02, we find P(X > 5) = 1 - P(X ≤ 5). Using a binomial calculator or table, P(X ≤ 5) ≈ 0.8106, so P(X > 5) ≈ 0.1894.

Bottomline Ink, a Forms Management Company, Fills 100 Orders a Day