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What total sum can you expect in rolling a fair dice 20 times Do the experiment,...

What total sum can you expect in rolling a fair dice 20 times Do the experiment, repeat it a number of times, record how the sum varies. Remember the mean of x is also the expectation of x.

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Answer #1

When a dice is rolled 20 times the total sum of rolling can be expected to be in the range

[6,120]

Performing the experiment 1000 times we get the total sums in the range:

[46, 94]

The mean of this sample is 70.379

If we look at the original range the value of the mean should be 126/2 = 63

This value is quite close to the sample mean which is 70.379

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