A game of coins ves mipping total number of heads facing up. Let's use X to denote the total number of heads out of the 3 coins. Each round, you can bet a certain amount of money from $1 to $100. If the total number of heads is 0 or 1, you will double the money, otherwise, you will lose your money. Let Y denote the net gain in on- round. For example, if you bet $8 and got 3 heads, you will get $16 back, the net gain is $8. If it's only one head, you will lose the $8 bet, and your net gain is - $8. 1. What type of variable is X? [Select] ● ● 2. Find the probability that you will double your money. [Select] + 3. Find the expected net gain for betting $8 in one round. [Select] ⇒ 4. Which of the following is most likely to be the standard deviation of the net gain of betting $8 in one round? [Select] You set aside $80 to play this game and there are three plans. Plan A. Play 10 times and bet $8 in each round. Plan B. Play twice and bet $40 in each round. Plan C. Play once and bet $80 5.Which plan has the highest expected net gain? [Select] +