Victims of domestic abuse. In Exercise 4.79

(p. 241), you learned that some researchers believe that one in every three women has been a victim of domestic abuse (Domestic Violence: Incidence and Prevalence study, Sept.–Dec., 2005).

a. For a random sample of 240 women, what is the approximate probability that more than half are victims of domestic abuse?

b. For a random sample of 240 women, what is the approximate probability that fewer than 78 are victims of domestic abuse?

c. Would you expect to observe fewer than 50 domestically abused women in a sample of 240? Explain.