a) A product has five components in series as shown below:

AB C D E

The reliability of components A, B, C and D are the following:

A: 92% B: 88% C: 85% D: 80%

The product is to have an overall reliability of 60%. What must the reliability of component E be to satisfy this requirement? If it is not possible to satisfy the 60% reliability requirement, what is the best reliability possible for the product and what would the reliability of component E be to achieve this reliability?

b) BioTech Research Center is working to develop a new vaccine for the West Nile Virus. The project is so important that the firm has created three teams of experts working on the project from different perspectives. Team 1 has a 90% chance of success, Team 2 has an 85% chance of success, and Team 3 has a 70% chance of success. It is only necessary for one of the teams to succeed in developing the new vaccine. BioTech wants to make a statement about the reliability or probability that it will succeed in developing the new vaccine. What is this reliability or probability?

Please explain thoroughly so better understand and can do these questions in the future thanks!