A statistics teacher had a class of 50 students, of which 31 passed. The teacher decides to draw 3 students WITHOUT REPLACEMENT to ask their opinion about the subject.

Let Y be the total number of students approved in the course among those drawn by the teacher to give his opinion.

Under these conditions, do what is asked:

1. Determine the probability function of Y
2. Determine the mean and variance of Y

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.