- A study released by the governor’s office stated that 60% ofthe state residents support a higher penalty for driving underinfluence. John thinks the number is low, so he decided to conducthis own survey. He interviews 100 people and find that 75% supporta higher penalty for driving under influence. Identify thefollowing: (1pt each)
- Sample:
- Population:
- Statistic:
- Parameter:
2. A bag contains 5 colored marbles, 3 red and 2 blue. You wantto pick three marbles, one at a time from the bag. The sample spaceof this experiment is as followed:
S = {RRR, RRB, RBR, BRR, BBR, BRB,RBB}
We define the following event:
A – No pick is red
B – Exactly two picks are Red.
C – The second is Blue.
D – Exactly two Blue.
a. Is A and B disjoint ornon-disjoint? (2pts)
b. Is C and D disjoint ornon-disjoint? (2pts)
3. A carnival game has bag that contains four different coloredballs. There are four blue balls, three red balls, two orangeballs, and one purple ball. You pay $5 to reach in and grab onecolored ball from the bag. If you pick a blue ball you win $10, ifyou pick a red ball you win $20, if you pick an orange ball you win$50, and if you pick a purple ball you win $100. What is yourexpected gain if you play this game? (3pts)
