Life can feel heavy when we expect people, events, or even ourselves to behave in certain ways. These expectations often lead to disappointment, resentment, and unnecessary suffering. The Bhagavad ...
3 A clever solution to find the expected value of a geometric r.v. is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" (by the way, an extremely enjoyable course) and based on (a) the memoryless property of the geometric r.v. and (b) the total expectation theorem.
Expectation of sample variance Ask Question Asked 5 years, 2 months ago Modified 2 years ago
What is the expectation of $ X^2$ where $ X$ is distributed normally? Ask Question Asked 14 years, 3 months ago Modified 10 years, 11 months ago
statistics - What is the expectation of $ X^2$ where $ X$ is ...
I understand how to define conditional expectation and how to prove that it exists. Further, I think I understand what conditional expectation means intuitively. I can also prove the tower property,
This is the Law of Total Expectation. The proof is as follows: $$ \begin {align} E [E [X|Y]] &= E \left [ \sum_ {x} x \cdot P (X = x | Y) \right] \ &= \sum_y \left ...
expectation - What is the expected value of a probability density ...
Expectation of normal c.d.f. of a normal random variable Ask Question Asked 2 years, 5 months ago Modified 2 years, 5 months ago
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