ABC Paper Corporation manufactures a special grade of lamina

ABC Paper Corporation manufactures a special grade of laminated (plastic coated) paper. For the current process being used, the quality control staff has shown that, on average, one defect in the lamination can be expected in every 1.25 square feet of laminated paper. By corporate policy, the coating process must be stopped if the coating process if it is more likely than not that there will be more than one defect in the coating in any two square feet of laminated paper. (In other words, the coating process is stopped if the chance of finding more than one defect in the coating in any two square feet of the laminated paper exceeds 0.50).

What is the probability of finding more than one defect in any two square feet of laminated paper?

Solution

finding the probability that there are more than 1 defects in two swuare feet

as there is 1 defect in 1.25 sq ft area

which makes it 1/1.25 = 0.8 = 80% chances of finding a defect

if we use this

that 80% of 2 = 1.6

hence there is also 0.80 chances of finding more than 1 defect in 2 square feet