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1) Suppose there are n people assigned to m different tasks

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1) Suppose there are n people assigned to m different tasks. Assume that each person is randomly assigned a task and that for each person, all tasks are equally likely. Use linearity of expectation to find the expected number of people working on a task alone.

2. Suppose each of the 50 states of the USA votes either Democrat or Republican in the next election. Assume that each state votes Democrat with a 50% probability, and Republican with a 50% probability. If there are 109 borders between states, use linearity of expectation to find the expected number of borders that separate a Democratic voting state from a Republican voting state.