Let E1 denote the event that a structural component fails during a test and E2 denote the event that the component shows some strain, but does not fail. Given P(E1) = 0.39 and P(E2) = 0.45. Round your answers to two decimal places (e.g. 98.76).
a) What is the probability that a structural component does not fail during a test?
b) What is the probability that a component either fails or shows strain during a test?
c) What is the probability that a component neither fails nor shows strain during a test?