Let X denote the number of flaws in a 1 inch length of coppe

Let X denote the number of flaws in a 1 inch length of copper wire. The pmf of X is given in the following table What is the value of k? 144 wires are sampled from this population. What is the probability that the average number of flaws per wire in this sample is less than 2?

Solution

p(X=x) =1

0.2 + 0.1 + k = 1

k = 0.7

b)

average number less than 2 will be = 0.2