Question: 2. (20 points:) Let X be a Random Variable, and let T>0 be a terminal time. Define the process Mt=Et[X],0tT, where Et[] is the condition

2. (20 points:) Let X be a Random Variable, and let T>0 be a terminal time. Define the process Mt=Et[X],0tT, where Et[] is the condition expectation, condition on "all the information up to and including time t. Show that M is a martingale

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