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 1 6 . 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. Rubrics for the task:
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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