A sensory device consisting of two identical sensors that are connected in series will fail if at least one of the two sensors fails. Assume that the lifetime of each sensor is according to the Gamma distribution with parameters Shape parameter = 3 and Scale parameter = 12 years (or equivalently, Rate parameter = 1/12) . Further assume that each sensor's lifetime is independent of the other.

What is the probability that the device consisting of the two sensors that are connected in series will fail during the first 10 years of its life?

0.05

0.90

0.10

0.95

0.07