In: Statistics and Probability
I had an exam and did not know how to fully solve the below question...
There are two bets.
A coin is flipped and if its heads you win 10 million dollars, but if it is tails you lost 1 million dollars.
A die is rolled, and if it is 1 you receive 20 million dollars...if it is 2 you receive 10 million dollars, and numbers 3-6 you pay 600 thousand.
1. Find the expected return and std deviation of each. (which has a higher expected return/which is more risky)
2. Solve for the expected value and std deviation of the sum of those two bets.
3. Find the expected value and st deviation of 2 coin flips and 3 die rolls.