Overview
I'm working on a mathematics question and need the explanation and answer to help me learn.
A company is producing widgets using two machines, Machine A and Machine B. Machine A produces widgets at a rate of 20 widgets per hour, with a defect rate of 10%. Machine B produces widgets at a rate of 25 widgets per hour, with a defect rate of 5%.
1. If the company uses only Machine A, what is the expected number of good widgets produced in 8 hours
2. If the company uses only Machine B, what is the expected number of good widgets produced in 6 hours?
3. If the company alternates between using Machine A for 2 hours and Machine B for 3 hours in a cycle, repeating this cycle, what is the expected number of good widgets produced in 24 hours?