in your summer internship, you are working for the largest producer of lightbulbs. Your manager asks you to estimate the quality of the production; that is, to estimate p, the probability of a bulb produced by the factory to be defectless. You are told to assume that the quality of each bulb is independent, and identically distributed. (a) Supposing you test n randomly picked bulbs, what is a good estimate for p, Zn, such that Zn converges to p in probability? (b) The management asks that the estimate is located in the range p 0.1 with probability 0.95. Are 27 randomly picked bulbs enough for this specification? Give the reason