# expected value

See the attached file.

1. How many bit strings of length ten contain either at least five consecutive 0's or at least five consecutive 1's? explain

2. Which is more likely: rolling a total of 8 when two dice are rolled, or rolling a total of 8 when three dice are rolled? explain

3. Three fair dice are rolled.Let X be the sum of the numbers that come up. Find the expected value EX and the variance VarX.

See attachment for problem 4.

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#### Solution Summary

The solution finds the expected value EX and the variance VarX.

$2.19