Question 2 The production line manufacture 500 meter-long optical fiber optic cable with a tolerance of 5 percent and an average number of flaws of 10. va) Assuming that the cable length is normally distributed with mean 500 m and a variance of 100 m, what is the probability that a randomly selected cable will be rejected ? v b) Find the probability of at least two flaws being found in a 500 m of cable ? vc) Find the probability of exactly three flaws being found in a 250 m of cable ? d) Find the probability of exactly one flaw being found in every 100 m section of the cable ? my e) Find the probability that a flaw is found in the next 50 meters; given that the first 100 meters of the cable have been flawless. f) Find the cable length that should be tested such that the probability of finding the first flaw is 80 percent