Question
A certain product is comprised of two components: X and Y. Component X has a failure rate of one in every ten years, while Y's
A certain product is comprised of two components: X and Y. Component X has a failure rate of one in every ten years, while Y's failure rate is one in every five years.
1. What is the probability that component X will fail?
2. what is the probability that component Y will fail?
3. what is the probability that component X will perform reliably?
4. What is the probability that component Y will perform reliably?
5. What is the probability that this product will function reliably?
6. What is the reliability of the product if component X is backed up with an identical component?
7. What is the reliability of the product if component Y is backed up with an identical component?
8. What is the reliability of the product if both X and Y are backed up with components that are identical to the original components?
9. What is the reliability of the product if both X and Y are backed up with components that are identical to the original components and have switches that are each .95 reliable?
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