A popular band is developing a new sound product with three components A, B, and C that must each function in order for the product to function. The band will provide a two year warranty for the product. The probability that component A will function properly for two years is 0.97, for B it’s 0.99, and for C it’s 0.91. In addition, component C has a backup (component D) that will function in the event that C fails. (The numbers represent component reliability).
A) The band believes it’s worth offering the 2 year warranty if the overall product reliability is at least 0.96. What is the minimum reliability of component D in order to offer the 2 year warranty?
B) Should “Walk of Shame” offer the 2 year warranty?