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Material Type: Notes; Professor: Whelan; Class: 1016 - Probability; Subject: Mathematics & Statistics; University: Rochester Institute of Technology; Term: Unknown 2010;
Typology: Study notes
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a.^ Consider a continuous random variable with the uniform probability density function Verify that f (x) is normalized, i.e., that^ f^ (x) =^ { ∫^0 B (^) ∞−^1 A^ A < x < Botherwise b. Sketch the graph of f (x). Label the axes.−∞^ f^ (x)^ dx^ = 1
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d.^ c.^ Consider a continuous random variable with the uniform probability density functionFind the cumulative distributionSketch the graph of F (x). Label the axes.^ f^ F^ (x^ (x) =).^ {^0 B^ −^1 A^ A < x < Botherwise
e. f. Calculate the expected valueCalculate the variance V (X) in terms of E(X) in terms of A and AB (^) .and B. 2
