You're a PM for Gmail. Your team won a communications contract with a 10,000-person colony on Mars. Estimate the necessary network bandwidth.

Focus on breaking down the problem into manageable components. Start by estimating the average number of emails sent per person per day and consider the average size of an email, including attachments. Factor in the potential for peak usage times and any additional services that might be used, such as video calls or file sharing. Don’t forget to account for latency and the unique challenges of Mars’ distance from Earth. Finally, present your calculations clearly, explaining your assumptions and how they impact the overall bandwidth estimate.