Question: In Example 12.2.12, we can actually compute the median of the distribution of the Xi in closed form. Calculate the true median, and see

In Example 12.2.12, we can actually compute the median θ of the of the Xi in closed form. Calculate the true median, and see how far the simulated value was from the true value. Find the marginal p.d.f. of X by using the law of total probability for random variables (3.6.12) together with Eq. (5.7.10). The c.d.f. and quantile function are then easy to derive.

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