Wait times for Uber rides as people exit a certain sports arena are uniformly distributed on the interval [0, θ] with h unknown. Suppose the following Pareto prior distribution is assigned to θ:

Based on observing the wait times x_1,. . ., x_n of n Uber customers, determine the posterior distribution of h. Some care must be taken to address the boundaries θ ≥ 20 and x_i ≤ θ.

Transcribed Image Text:

π(0) 24,000 04 0 > 20