probability distribution 2

each of 120 collage students selected showroom displays ( represenring five different sized grills ) were available , but the students were instructed to select only three displays in order to maximize purchases of grill #2 ( a smaller sized grill ) . The table shows the grill display combination and the number of times each was selected by the 124 students. suppose one of the 124 students is selected at random. let x represented the sum of the grill numbers selected by this student. ( this value is an indicator of the size of the grills selected )

grill display combination number of students

1-2-3 35

1-2-4 8

1-2-5 42

2-3-4 4

2-3-5 1

2-4-5 34