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The Law of Large Numbers Applet can roll two dice 100 times (or many more). The

ID: 3217830 • Letter: T

Question

The Law of Large Numbers Applet can roll two dice 100 times (or many more). The graph shows how the average count of spots changes as we make more rolls. That is, the graph shows as we continue to roll the dice. For 100 rolls, which of the following is a possible graph of the results?
PLEASE ANSWER AS SOON AS POSSIBLE

Roll two balanced dice and count the total spots on the up-faces. The probability model appears in Example 10.5 (page 265). You can see that this distribution is symmetric with 7 as its center, so it’s no surprise that the mean is = 7. This is the population mean for the idealized population that contains the results of rolling two dice forever. The law of large numbers says that the average from a finite number of rolls gets closer and closer to 7 as we do more and more rolls.

The Law of Large Numbers Applet can roll two dice 100 times (or many more). The graph shows how the average count of spots changes as we make more rolls. That is, the graph shows as we continue to roll the dice. For 100 rolls, which of the following is a possible graph of the results?
PLEASE ANSWER AS SOON AS POSSIBLE


Explanation / Answer

graph number 1_4 is right as curve is coverginf to its mean 7. as we ll it start from minimum value 2 and goes till maximum sum of 12.

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