PART A: A CERTAIN TOWN PERFORMS A SURVEY AND DISCOVERS THAT 15% OF THEIR POPULATION HAVE HAZEL-COLOURED EYES.

1. IF 5 PEOPLE ARE RANDOMLY SELECTED FROM THE TOWN, WHAT IS THE PROBABILITY THAT 2 OF THE PEOPLE HAVE HAZEL EYES?
2. WHAT IS THE EXPECTED NUMBER OF PEOPLE WITH HAZEL EYES IN THE GROUP OF 5 PEOPLE?
3. CREATE A PROBABILITY HISTOGRAM FOR THE ABOVE SITUATION FOR THE OUTCOMES FROM 0 TO 5 PEOPLE WITH HAZEL EYES.

PART B: A REGULAR SIX-SIDED DIE AND A REGULAR EIGHT-SIDED DIE ARE ROLLED TO FORM A SUM.

1. DETERMINE THE PROBABILITY DISTRIBUTION FOR THE SUM OF THE TWO DICE.
2. CREATE A FREQUENCY HISTOGRAM FOR THE PROBABILITY DISTRIBUTION.
3. DETERMINE THE EXPECTED SUM OF THE TWO DICE.