10.40 Hepatitis C and HIV coinfection. According to a 2003 report of the U.S. Health Resources and Services Administration, coinfection of HIV and hepatitis C (HCV) is on the rise. Only about 2% of Americans have HCV, but 25% of Americans with HIV have HCV. Approximately 10% of Americans with HCV also have HIV. (a) Write the information provided in terms of probabilities. Are the two viral infections independent? Explain your reasoning. (b) What is the probability that a randomly chosen American has both HIV and HCV?