QUESTION 1: 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.

QUESTION 2: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.

QUESTION 3: A HOCKEY TEAM HAS 23 PLAYERS ON IT CONSISTING OF 13 FORWARDS, 7 DEFENSEMAN AND 3 GOALIES. THE TEAM CHARITY GOLF TOURNAMENT IS COMING UP AND 8 PLAYERS ARE REQUIRED TO PLAY.

1. DETERMINE THE PROBABILITY THAT 3 DEFENSEMEN ARE CHOSEN TO PLAY IN THE GOLF TOURNAMENT.
2. DETERMINE THE PROBABILITY THAT AT LEAST ONE GOALIE WILL PLAY IN THE GOLF TOURNAMENT.
3. WHAT IS THE EXPECTED NUMBER OF FORWARDS THAT WILL PLAY IN THE GOLF TOURNAMENT?

THANK U!