Expectation and variance:
- Var (X) = E (X^2) - E (X)
- E (a + bX) = a + bE (X)
- Var (a + bX) = b^2 Var (X)
- E (aX +/- bY) = aE (X) +/- bE (Y)
- Var (aX +/- bY) = a^2Var (X) + b^2Var (Y)
Conditions of Binomial distribution (also Geometric):
- Each trial results in one of two outcomes
- The probability of success is constant
- The trials are independent of each other
Conditions of Poisson distribution:
- Events occur randomly at a constant average rate, independently of each other
Po (lamda) + Po (mu) = Po (lamda + mu), if lamda and mu are independent
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