Compare queueing systems and common distributions

You are asked several statistics fundamentals questions in a data science interview: 1. A bank can be organized in one of two ways: - **System A:** 5 tellers share **one common queue**. - **System B:** 5 tellers each have **their own separate queue**. Assume customer arrivals are random, tellers have similar but not identical service speeds, and some customers take much longer than others. As a customer, which system would you prefer and why? Compare the systems in terms of expected waiting time, variance of waiting time, and fairness. 2. Sketch or describe the distribution of **adult male heights in the United States** and the distribution of **adult female heights in the United States**. 3. If you pool men and women together and ignore sex, what does the **combined height distribution** look like? 4. On a social network such as LinkedIn, describe the distribution of **number of connections per user**. 5. For that connections distribution, how would **mean, median, and mode** compare, and why? If asked for the likely scale of the mean, what factors would determine it?