Problem 3. The data in Fan.csv gives the failure and censoring times of diesel generator fans. Assume the lifetime of the fans follow a \\Veibull distribution. Answer the following questions. 1. Obtain posterior samples of the Wreibull shape and scale parameters by assuming non- informative priors. 2. Find the 95% credible intervals of the lifetime of a new fan. 3. What would be the answer to part 2 if we were to ignore the censored fans and use only the failed fans for analysis