6. A local hospital is surveyed about birth rates. Last year 632 boys and 537 girls were born there. The survey is then expanded to last year's births at 8 additional hospitals, and the results showed that 6048 boys and 6213 girls were born at the 8 additional hospitals. a) What is the probability that a randomly selected baby born at the local hospital last year was a boy? Write your answer as a decimal. b) What is the probability of a randomly selected birth from one of the 8 additional hospitals was a boy? Write your answer as a decimal. c) How does the Law of Large Numbers apply to this scenario? 7. The access code for a car's security system consists of ve digits followed by a letter. Each digit can be 0 through 9. a) How many access codes are possible if each digit can be used only once and not repeated? b) How many access codes are possible if each digit can be repeated? c) Find the probability that someone trying to break into a car with the security system that allows digits to be repeated (part b) would guess the correct access code in one attempt. 8. Globally, at least 1 billion adults are overweight (body mass index, or BMI, exceeding 25), with about 300 million of those adults considered obese (BMI of 30 or greater). While obesity has long been a problem in industrialized countries, levels are rising in many developing countries as well. To study the current obesity levels, you collected data from 238 nations online and found that for 135 of these nations the percentage of obese population was greater than 50%. If one of the nations is selected from your sample, nd the probability that the nation selected has less than 50% of the population obese. 9. The networks for the top 20 television shows, as determined by the Nielsen Ratings for one week last fall, are shown in the following table. You might find it useful to use your lab from the previous class about Statistics to answer the following questions. Find the probability that if one of the top twenty shows is picked, a) it aired on Fox. 1)) it aired on CBS. c) it did not air on ABC. d) it aired on CBS or Fox