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Random Variables Distributions And Expected Value
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Chapter 3 Continuous Random Variables
www.pnw.edu76 Chapter 3. Continuous Random Variables (LECTURE NOTES 5) with associated standard deviation, ˙= p ˙2. The moment-generating function is M(t) = E 1 etX = Z 1 etXf(x) dx for values of tfor which this integral exists. Expected value, assuming it exists, of a function uof Xis E[u(X)] = Z 1 1 u(x)f(x) dx The (100p)th percentile is a value of ...
Lecture 6: Discrete Random Variables
www.stat.cmu.edugeometric random variables. So E[X] = r/p, and Var(X) = r(1−p)/p2. 5 Poisson random variables Think about a very large number of Bernoulli trials, where n → ∞, but the expected number of successes stays constant, say λ. For instance, suppose we’re looking at the number of particles emitted by a chunk of radioactive substance