Subjects probability

Expected Killings Ea1751

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1. **State the problem:** Find the expected number of people killed each year by an abusive partner given that 1 out of every 1000 abusive relationships ends in murder and there are approximately 1.5 million abusive relationships. 2. **Formula used:** The expected value $E$ for the number of events is given by: $$E = n \times p$$ where $n$ is the total number of trials (abusive relationships) and $p$ is the probability of the event (murder) per trial. 3. **Apply the values:** $$n = 1,500,000$$ $$p = \frac{1}{1000} = 0.001$$ 4. **Calculate the expected value:** $$E = 1,500,000 \times 0.001$$ 5. **Simplify:** $$E = 1,500$$ 6. **Interpretation:** The expected number of people killed each year by an abusive partner is 1500. **Final answer:** 1500