._ _'__.___ The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect. rate (due to imperfections in the material used} is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. A The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light r; bulbs in the sample assuming the machinery is working correctly. ' Answer the following. (If necessary, consult a list of formulas.) A (a) Find the mean of p. X 5:) {El I] A (b) Find the standard deviation of p. I] A (c) Compute an approximation forP (p 2 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places. I]