3. According to a recent study, 1 in every 7 women has been a victim of...
3. According to a recent study, 1 in every 7 women has been a victim of domestic abuse at some point in her life. Suppose we have randomly and independently sampled 25 women and asked each whether she has been a victim of domestic abuse at some point in her life.
(a) Write the probability mass functions for random variable Y ,which is the number of women we sampled have been the victim of domestic abuse .
(b) Find the mean (E(Y )) and variance (Var(Y )).
(c) Find the probability that at least 2 of the women sampled have been the victim of domestic abuse.
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