Suppose that 3% of the students at a particular college have the H1N1 influenza virus.

1. If a student gets together with 12 other college students over a period of time, what is the theoretical probability that at least one of those 12 students has the H1N1 influenza virus? Show as a percentage with 3 decimal places.

2. If a student gets together with 30 other students over a period of time, what is the theoretical probability that at least one of those 30 students has the H1N1 influenza virus? Show as a percentage with 3 decimal places.

You but a lottery ticket.It costs $10.The table shows the possible outcomes.

Result/ Amount Won/ Probability

Grand Prize$1000.025

Pretty Good Prize$500.100

Okay Prize$100.250

Sucker Prize$10.300

No Prize$00.325

3.Compute the expected value for this game. Don't forget that a ticket costs $10.

4. Based on the expected value, should you play this game?Why or why not?