. According to a survey, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Chicago is a lawyer. a) If you select a random sample of 1500 Americans, what is the approximate probability that the sample contains at least one lawyer?b) If the sample is selected from among the residents of Chicago, what is the approximate probability that the sample contains more than 30 lawyers? c) If you stand on Chicago street corner and interview the first 1000 people who walked by and 30say that they are lawyers, does this suggest that the density of lawyers passing the corner exceeds the density within the city? Explain.