Central limit theorem: Sample proportion V 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 1.5% 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 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 ofp. A (b) Find the standard deviation of p. II A (c) Compute an approximation forP(p 20.015), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places. 3