The project manager should take these two actions to align customer expectations with the current situation of the project. The sprint velocity is a measure of how much work the agile team can complete in a sprint. By reviewing the updated sprint velocity with the customer, the project manager can show the impact of losing two team members on the project schedule and scope. The customer can then adjust their expectations accordingly and provide feedback on the project progress. The prioritized backlog is a list of features and requirements that the customer wants to have in the product. By asking the product owner to review the prioritized backlog with the customer, the project manager can ensure that the most valuable and important features are delivered first. The customer can also reprioritize the backlog items based on their changing needs and preferences. This way, the project manager can deliver early results that meet the customer's satisfaction.
The other options are not the best actions to align customer expectations. Asking the agile team to review and update the quality management plan with the customer is not relevant to the budget reduction or the early results. The quality management plan defines the quality standards, criteria, and methods for the project. It is not a tool for communicating the project status or scope with the customer. Reviewing the impediments log with the customer is not a good practice, as it may expose the internal issues and challenges of the agile team.
The impediments log is a record of the obstacles and problems that the agile team faces during the project. It is used by the agile team and the scrum master to identify and resolve the impediments. The customer does not need to know the details of the impediments log, as it may affect their trust and confidence in the project team. Sending a detailed project management plan to the customer is not appropriate for an agile project, as it may imply a fixed and rigid approach to the project. The project management plan is a formal document that describes how the project will be executed, monitored, and controlled. It is not suitable for an agile project, as it does not accommodate the changes and uncertainties that occur during the project. An agile project relies on frequent and informal communication, collaboration, and feedback with the customer, rather than a detailed project management plan. References:
PMBOK Guide, 6th Edition, Chapter 6, Section 6.7, "Control Schedule"
PMBOK Guide, 6th Edition, Chapter 13, Section 13.2, "Plan Stakeholder Engagement" PMBOK Guide, 6th Edition, Appendix X3, Section X3.2.2.3, "Sprint Velocity" PMBOK Guide, 6th Edition, Appendix X3, Section X3.2.2.4, "Prioritized Product Backlog" PMBOK Guide, 6th Edition, Appendix X3, Section X3.2.2.5, "Impediments Log" PMP Project Management Professional Exam Study Guide: 2021 Exam Update, 10th Edition, Chapter 12, Section 12.2, "Agile Project Management" 1

According to the PMBOK Guide, 6th edition, risk mitigation is one of the strategies for responding to positive or negative risks. It involves reducing the probability or impact of a risk to an acceptable level. In this case, the project manager should mitigate the risk of the partner's system being unavailable by developing alternative plans to deliver the solution without relying on the full integration. This will help the project achieve its objectives and satisfy the customer's needs. The other options are not the best choices because they either do not address the risk, transfer the risk to the partner, or accept the risk without taking any action. References:
* PMBOK Guide, 6th edition, page 4361
* Free PMP Practice Exam Questions - 120 Sample Test Questions, Question 692

In a project with team members located in different countries and time zones, common understanding about task distribution is crucial for team performance. Here are the recommended actions:
Perform team-building activities (B): Team-building activities can help improve communication and understanding among team members1. These activities can be designed to focus on task distribution and roles within the team, helping to ensure everyone understands their responsibilities1.
Revisit the communications management plan (D): The communications management plan outlines the methods and technologies used for communication among team members2. If the team doesn't have a common understanding about task distribution, it may indicate that the current communications management plan is not effective. The project manager should revisit this plan, making necessary adjustments to improve clarity and understanding2.
https://www.pmi.org/learning/library/managing-distributed-project-teams-6035

Explanation:

The closing phase of project management is the final phase of the project lifecycle. This is the stage where all deliverables are finalized and formally transferred, and all documentation is signed off, approved, and archived1. The most important step of the project closing phase is getting formal sign-off and acceptance of the customer2. Because projects are initiated based on a business need and customer request. Therefore, if the customer does not accept the final outputs and product, a project cannot be closed2. References: 7 Steps to Nail the Project Management Closure Process, Project Closing Phase: Do You Know the 8 Steps for Closing a Project?