The failure time of a new brake drum design is observed to follow a Gamma distribution with a p.d.f. of   For γ = 2 and λ = 0.0002, determine: (a) The expected number of failures in one year of...

The failure time of a new brake drum design is observed to follow a Gamma distribution with a p.d.f. of

For γ = 2 and λ = 0.0002, determine:

(a) The expected number of failures in one year of operation,

(b) The MTTF, and

(c) The reliability at t = 1000 hours.