The incorrect statement about an all-purpose cluster in Databricks is: 'An all-purpose cluster can be used to run fast and robust automated jobs.'

Explanation: All-purpose clusters are designed for interactive and collaborative tasks, such as running notebooks and performing analyses. They are not optimized for automated jobs, which are better handled by job clusters. Job clusters are specifically designed for production workloads, offering greater reliability and efficiency for automated tasks.

Correct Statements:

• All-purpose clusters can be manually terminated or restarted.
• They can be created using the UI, CLI, or REST API.
• They support sharing among multiple users for collaborative analysis.