Firms аnd Pаtents (cоntinued): Yоu аre interested in whether оr not the typical firm in the United States is awarded a patent in a given year. Let the random variable X = 1 if the firm receives a patent and 0 if the firm does not receive a patent. For a random sample of n firms, we model as i.i.d. draws of X~Bernoulli(). Question: Suppose that, in addition to whether or not a firm was awarded a patent (X) during the year, you also observe the realization of Y = the number of patents that a firm is awarded during the year. With a random sample of 100 firms (n=100), what must be true about the sample standard deviation for the width of the 95% confidence interval for to be less than 1 unit (here, the units are the number of patents)?