A pressure gauge has been ovserved to have a weibull failure distribution with a shape parameter of 2.1 and acharacteristic life of 12,000 hr. Find the following: (a) R(5000 hr) (b) the B1 and B.1 life (c) the MTTF and the standard deviation (d) the median and the mode (e) the probability of failure in the first year of continuous operation.