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Suppose that a law researcher is looking into how for-profit lawyers take on clients. The data...

Suppose that a law researcher is looking into how for-profit lawyers take on clients. The data suggests that, on average, for-profit lawyers across all fields will only take on 7 clients per year who have a previous conviction.

1. What is the expected value in this situation?

2. What is the standard deviation?

3. Without using any formulas, would you say it’s very probable that a given for-profit lawyer will take on 15 clients with previous convictions in a given year? Explain why or why not with reference to the expected value and the standard deviation.

4. What is the probability that a for-profit lawyer would take on 15 clients with previous convictions? Set up the P(x) formula for this situation with the correct values.

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