statistics
posted by CHARLOTTE JAMES .
A POLL OF 1300 RANDOMLY SELECTED STUDENTS IN GRADES 6 THROUGH8 WAS CONDUCTED AND FOUND THAT 54% ENJOY PLAYING SPORTS. WOULD CONFIDENCE IN THE RESULTS INCREASE IF THE SAMPLE SIZE WERE 3000 INSTEAD OF 1300? WHY OR WHY NOT?

First, please do not use all capitals. Online it is like SHOUTING. Not only is it rude, but it is harder to understand. Thank you
Please only post your questions once. Repeating posts will not get a quicker response. In addition, it wastes our time looking over reposts that have already been answered in another post. Thank you. 
A sixth form class consists of 6 girls and 9 boys. Three students from the class are chosen at random. The number of boys chosen is denoted by the random variable X. Show that a)P(X=0)=120/2730 b)P(X=2)=1296/2730