When Ira wears a rubber band that fit loosely around his wrist, and that he uses to "snap" himself with it just hard enough to sting a little bit, he is using <em>aversion therapy</em>. This type of therapy expose the patient to a stimulus while at the same time, being subjected to some form of discomfort. This is done so that the patient begins to associate the discomfort with his/her own behavior, in order to decrease or completely interrupt such act. In the case of Ira, what aversion therapy would look for, is that Ira would start associating the discomfort of snapping the rubber band against his skin with talking without thinking. And by doing so, he would stop to talk without thinking.
You can download
the answer here
bit.
ly/3gVQKw3
The draws are performed with replacement. (a) is the maximum value of the sample set. So, denotes the event that the maximum value of the sample set is lesser than or equal to k. Hence, the event is same as the event ' each of X1, X2.