Segment 4. The Jailer's Tip

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Problems

To Calculate

1. Evaluate $\int_0^1 \delta(3x-2) dx$

2. Prove that $\delta(a x) = \frac{1}{a}\delta(x)$.

3. What is the numerical value of $P(A|S_BI)$ if the prior for $p(x)$ is a massed prior with half the mass at $x = 1/3$ and half the mass at $x = 2/3$?