Question: A city's bus's delayed time (D) is uniformly distributed between [0,T] where T ~ [0,1]. Suppose the only prior data is observe a delay time

A city's bus's delayed time (D) is uniformly distributed between [0,T] where T ~ [0,1]. Suppose the only prior data is observe a delay time D=x. What is the posterior density of (T=t | D=x) and expected value of (T|D=x)? Let's assume an observation of D=.10 hours. Whats the probability that the next flight will be delayed by more than .25 hours?

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