A calculator is assembled from 131 components, each one made by a process capable at a 2 sigma level (95.5% reliable).

a) What is the reliability of the calculator? (Enter your response as a percentage rounded to eight decimal places)

b) If you want the calculator to be at least 99.99% reliable, what should the reliability of each component be? Assume that all the components will have the same reliability. (Enter your response as a percentage rounded to eight decimal places).

c) If each component is made by a 6-sigma (99.9999998% reliable), how reliable will the calculator be? (Enter your response as a percentage rounded to eight decimal places).

Please show work step-by-step.