i '3 What I Have Learned Complete the following statements by writing the correct word or words. 1. The mean of a discrete random variable is interpreted as the value of a random variable over repeated trials of an experiment. 2. The variance and standard deviation of a discrete random variable measured or described the of the assumed values of the random variable to the mean. 3. A small variance or standard deviation means that the assumed values or data points tend to be to the mean. 4. A higher variance or standard deviation means that the assumed values or data points are from the mean What I Can Do Oh, what a game! Things to do: Device a game of chance using a fair die with corresponding winnings and losses. For example, in rolling a die you may assign even outcomes as winning outcomes and the odd outcomes as the losses or think of your own plan. Let X the amount to be won by a player or the amount he will lose when he plays your game. Compute for the mean or the average amount a player may win or lose, the variance and the standard deviation, and interpret the results. Don't forget that each face of a die has a probability of 2. Be prepared to describe your game and demonstrate it in our class next meeting or you may prepare a video of your demonstration to be submitted online