According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. suppose we have randomly and independently sampled twenty-five women and asked each whether she has been a victim of domestic abuse at some point in her life. find the probability that at least 2 of the women sampled have been the victim of domestic abuse.

According to the given, 1 in every 10 women has been a victim, therefore the probability of a  victim of domestic abuse at some pint is

We need to use Binomial distribution to take a randomly sampled of 25 women and asked each whether she has been a victim.

Where x is the event that shows a victim of domestic abuse at some point.

We need to find the probability of these victim at least 2 has been victim of abuse, so

So the probability is 0.729