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Flashcards

Discrete and Continuous RVs

Theo Kaufman ECE270 TOEFL English 48 cards

Discrete and Continuous RVs

Cards in this deck (48)

  1. 1BernoulliX = 1 if success, X = 2 if failure. p = prob of success, q = prob of failure = 1 - p
  2. 2Bernoulli CDFBernoulli CDF
  3. 3Bernoulli pdfBernoulli pdf
  4. 4BinomialX = # of success for n trials. P(success) = p.
    X ~ Β(n,p)
  5. 5Binomial pmfBinomial pmf
  6. 6Binomial CDFBinomial CDF
  7. 7Geometricnumber M of Bernoulli trials until a success. P(success) = p, P(failure) = q
  8. 8Geometric pdfGeometric pdf
  9. 9Geometric CDFGeometric CDF
  10. 10Poissonnumber N times that event happens over a certain period. α = average number of events in specified time interval.
  11. 11Poisson pmfPoisson pmf
  12. 12Poisson CDFPoisson CDF
  13. 13Discrete UniformFinite number of outcomes are equally likely
  14. 14Discrete Uniform pmfDiscrete Uniform pmf
  15. 15Discrete Uniform CDFDiscrete Uniform CDF
  16. 16E[X] of discrete RVE[X] of discrete RV
  17. 17VAR[X] of discrete RVVAR[X] of discrete RV
  18. 18Bernoulli MeanE[X] = p
  19. 19Bernoulli VarianceVAR[X] = pq
  20. 20Binomial MeanE[X] = np
  21. 21Binomial Variancenp(1 - p)
  22. 22Geometric MeanE[M] = 1/p
  23. 23Geometric VarianceVAR[M] = q/(p^2)
  24. 24Poisson MeanE[N] = α
  25. 25Poisson VarianceVAR[N] = α
  26. 26Discrete Uniform MeanDiscrete Uniform Mean
  27. 27Discrete Uniform VarianceDiscrete Uniform Variance
  28. 28Continuous UniformX ∼ U[a,b]
  29. 29Continuous Uniform pdfContinuous Uniform pdf
  30. 30Continuous Uniform CDFContinuous Uniform CDF
  31. 31ExponentialX ∼ exp(λ)
  32. 32Exponential pdfExponential pdf
  33. 33Exponential CDFExponential CDF
  34. 34GaussianX ∼ N (m, σ2)
  35. 35Gaussian pdfGaussian pdf
  36. 36Gaussian CDFGaussian CDF
  37. 37LaplacianX ∼ Laplace(α)
  38. 38Laplacian pdfLaplacian pdf
  39. 39RayleighDescribes the magnitude of a 2d vector with elements that are independent and identically distributed Gaussian
  40. 40Rayleigh pdfRayleigh pdf
  41. 41Cauchy pdfCauchy pdf
  42. 42Mean of continuous RVMean of continuous RV
  43. 43Mean of continuous uniformE[X] = (a+b)/2
  44. 44Variance of continuous uniformVariance of continuous uniform
  45. 45Mean of exponentialE[X] = 1/λ
  46. 46Variance of exponentialVAR[X] = 1/λ^2
  47. 47Mean of gaussianE[X] = m
  48. 48Variance of gaussianVAR[X] = σ^2

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TOEFL ECE270 Flashcards on Discrete and Continuous RVs, created by Theo Kaufman on 17/12/2023.
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Theo Kaufman
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