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We throw a 5-sided fair (all sides are equi-probable) dice 1,000 times independently. For each throw of the dice, we generate 1 if we

 

We throw a 5-sided fair (all sides are equi-probable) dice 1,000 times independently. For each throw of the dice, we generate 1 if we observe 1 or 2 on the dice. If we observe 3 or 4 or 5. we generate 0. Let A equals the sum of all generated values, i.e.. 1's and O's, generated by throwing the dice 1,000 times. The standard-deviation of random variable. A is (rounded to 2 decimal places, use a calculator if need be)

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