Question
Simulate the tossing of four fair six-sided dice 1000 times and store the results in the first four columns by issuing the following commands under
Simulate the tossing of four fair six-sided dice 1000 times and store the results in the first four columns by issuing the following commands under the menus Calc -Random Data - Integer. Input the following guidelines: generate 1000 rows store them in 'Die1' and 'Die2'and 'Die 3' and 'Die 4' Minimum of 1 and Maximum of 6 . Now create a variable called 'X' by issuing the following commands under the menus Calc -Row Statistics: Activate the Minimum statistic Use 'Die1' and 'Die2' and 'Die3' and 'Die 4' as the input variables Store the results in 'X' Questions: 1. Describe the experiment (including possible values) whose values have been stored in the column called X. 2. Do a HISTOGRAM or DOTPLOT for the random variable X. What is the shape of the distribution? 3. Use DESCRIPTIVE STATISTICS to find the mean and standard deviation of X in your simulation. 4. I will charge $1.75 per roll of the dice and will pay $X on each roll? [X is the outcome described in question #1] Who holds the mathematical advantage: you (the player) or me (the owner of the game)? Justify!!!
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