You are the technical manager for a large company. You have two team members

working for you, Jennifer and Salman. You randomly assign them to technical problems

that are logged using the company's internal troubleshooting website.

You do not know who you assign to which problem, as the IT system automatically

completes this process. Historical data indicates that when you assign Jennifer to a

problem, she resolves it 95% of the time. The same data for Salman is 75%. Given this

information, answer the questions that follow.

You have just received a problem notification on the website and the system has

randomly assigned one of the team members to the problem. Given the random

assignation of the two employees to the problems, there is a 0.5 probability that the

assigned employee is Jennifer. It is standard protocol for you to follow up on the call after

the work has been completed. You have asked the customer who logged the call if they

were happy and if the problem has been resolved. The customer answered, "Yes." Given

this additional information, what is the revised probability that the call was handled by

Jennifer?