The main purpose of this thesis is to study the survival rate of right censored and current status mixed data. We employ a Bernstein polynomial to model survival rate and use the Bayesian approach, as well as the Markov Chain Monte Carlo (M.C.M.C) procedure, to make statistical inference. Theoretically, larger proportion of right censored data in mixed data or larger sample size of mixed data, better estimation we get. Simulations reveal that the bias is neglected when sample size becomes large and hence the consistency of the estimator is conjectured.