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4 transform methods

4 transform methods. pgf. 4-1: X is a binomial RV, B( n,p ). Use pgf to calculate the variance of X. 4-2: X is a (discrete) uniform RV that assumes integers between 1 and M. Calculate VAR[X] using its pgf. mgf. 4-3: Find the variance of a Poisson RV with parameter  using mgf. HW4-1.

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4 transform methods

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  1. 4 transform methods

  2. pgf • 4-1: X is a binomial RV, B(n,p). Use pgf to calculate the variance of X. • 4-2: X is a (discrete) uniform RV that assumes integers between 1 and M. Calculate VAR[X] using its pgf.

  3. mgf • 4-3: Find the variance of a Poisson RV with parameter  using mgf.

  4. HW4-1 • Findthe mgf of a Gaussian RV X with N(0,1)

  5. Char. function • 4-4: Find the Variance of an Exponential RV X by using characteristic function. • 4-5: Find a characteristic function of a Gaussian RV, N(0,1).

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