Ok, so first we need to find out which distribution the random variable X follows. Since one can either be right handed or left handed, it follows a binomial distribution. So p represents the probability of success and (1-p) represents the probability of failure. So our random variable X will be the number of people who are left handed, and likewise the percentage of left handed people will represent the probability of success. So when we set the problem up, it looks like:
(8 choose 2)*.14^2*(1-.14)^6, our binomial coefficient represents the number of ways in which you can choose left handed people. So calculating this will get you your answer. I hope this helped you!