Based on past experience it is assumed that the number of fl

Based on past experience, it is assumed that the number of flaws per foot in rolls of grade 2 paper follows a Poisson distribution with a mean of 1 flaw per 5 feet of paper. (0.2 flaw per foot)

What is the probability that in a 1-foot roll, there will be at least 2 flaws?

What is the probability that in a 12-foot roll, there will be at least 1 flaw?

What is the probability that in a 45-foot roll, there will be greater than or equal to 5 flaws and less than or equal to 15 flaws?

Solution

P(x; ) = (e^-) (^x) / x!
A) P(2; 0.2)
B) P(1; 0.2) + P(2;0.2) +P(3;0.3)
C)P(5;0. 2) + P(6;0.2)+..........+P915;0.2)