1. A game involves selecting a card from a regular 52-card deck and tossing a coin. The coin is a fair coin and is equally likely to land on heads or tails.

	If the card is a face card, and the coin lands on Heads, you win $5
	If the card is a face card, and the coin lands on Tails, you win $1
	If the card is not a face card, you lose $1, no matter what the coin shows.

• Part (a)Find the expected value for this game (expected net gain or loss). (Round your answer to two decimal places.) $ ________
• Part (b)Explain what your calculations indicate about your long-term average profits and losses on this game.

A.The calculated value represents the average amount per game that your total money will change over a large number of games.

B. The calculated value represents a fixed amount that your total money will change after each game.

C. The calculated value represents the average amount per loss that your total money will change over a large number of games.

D. The calculated value represents a fixed amount that your total money will change after each loss.

2. You buy a lottery ticket to a lottery that costs $10 per ticket. There are only 100 tickets available to be sold in this lottery. In this lottery there are one $485 prize, two $125 prizes, and four $20 prizes. Find your expected gain or loss. (Round your answer to two decimal places.)

3. Suppose that about 85% of graduating students attend their graduation. A group of 21 graduating students is randomly chosen. Find the probability that 16 or 17 attend. (Round your answer to four decimal places.)

4. At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 30 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon. Find the probability that seven do not use the foil as their main weapon. (Round your answer to four decimal places.)

5. The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 19-year period. Assume each year is independent. Find the probability that a person is not audited at all. (Round your answer to four decimal places.)

6. A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 26%. We are interested in the number of dealerships she must call. Find the probability that she must call 5 or 6 dealerships. (Round your answer to four decimal places.)

7. Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

(A) Find the probability that you must ask 8 people. (Round your answer to four decimal places.)

(B) Find the probability that you must ask 4 or 5 people. (Round your answer to four decimal places.)

8. It has been estimated that only about 15% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. What is the probability that we must survey at least 4 California residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.)