1) According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some points in her life. Suppose we have randomly and independently sampled twenty-five women and asked each wther she has been a victim of domestic abuse at some point in her life. Find the probability that more than 7 of the women sampled have been the victim of domestic abuse.
2) A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample. A paper claims that 40% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled. Assuming the paper's finding is correct, find the probability that more than eight but fewer than 12 of the 20 sampled believe the company's president possesses low ethical standards.