a) The time to fail has a Weibull distribution for machine X that cost $300 to manufacture and has beta = 5 and theta = 400. Machine Y cost $500 to manufacture and has beta = 5 and theta = 500. If the machine will have a life of 30 hrs , which machine should I brief to the boss to sell?
b) Following a lognormal distribution with a mean of 3000 rpm and std deviation of 0.87, what if the boss want a 5% chance of HW failure before selling, how often would I have to replace this hardware ?