A class of 16 students was given a quiz marked out of 5 marks, leading to the following breakdown of the mark of the students: Mark 1 2 4 Number of students 1 1 5 3 One student is selected at random...

Extracted text: A class of 16 students was given a quiz marked out of 5 marks, leading to the following breakdown of the mark of the students: Mark 1 2 4 Number of students 1 1 5 3 One student is selected at random and their mark recorded. Another student is then selected at random from the remaining 15, and their mark recorded. Let Y denote the smaller of the two marks. (a) What is the support of Y? (b) Find P(Y = 2).