Question4: A game consists of tossing two coins, first a dime and then a nickel. For each coin which comes up a head you win the value of the coin. For each coin which comes up a tail you get nothing.

1) List the possible outcomes, in terms of heads and tails, and give the probability and your winnings for each outcome. a. {H,T} - each outsome has probability .5 - winnings are 5 and 0 b. {HH,HT,TH,TT} - each outcome with probability .25 - winnings are 10,5,5,0 c. {HH,HT,TH,TT} - each outcome with probability .25 - winnings are 15,5,10,0 d. {HH,HT,TH,TT} - each outcome with probability .25 - winnings are 15,10,5,0

2) Find the mean or expected winnings. a. 2.5 b. 5 c. 7.5 d. 10

3) Find the standard deviation. a. 5.59 b. 6.12 c. 31.25 d. 37.5

4) If you had to pay a dime to play the game, what would be the mean of your winnings? a. -7.5 b. -5 c. -2.5 d. 0 e. 2.5 f. 5 g. 7.5 h. 10

5) If you had to pay a dime to play the game, what would be the standard deviation of your winnings? a. 5.59 b. 6.12 c. 31.25 d. 37.5

Question7: West Side Wanda's sells fried chicken pieces, and William has determined that, of those who buy chicken, the distribution of sales is as follows

Pieces	1	2	3
Probability	0.3	0.5	0.2

1) What is the mean number of pieces sold per person? 1 1.7 1.9 2 3

2) What is the standard deviation of the number of pieces sold? 0.49 0.61 0.7 0.78

3) If each piece of chicken sells for $1.50, what is Wanda's mean sales value per person? 1.5 2.55 2.85 3.0 4.5