Probability Generating Functions

Worked examples (6)

• 1PGF from a probability table
• 2Finding an unknown constant with G(1) = 1
• 3Deriving the Poisson PGF from first principles
• 4Recovering geometric probabilities from a PGF
• 5Deriving the binomial PGF
• 6PGF of a discrete uniform distribution

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6

Worked examples (6)

• 1Mean of a Poisson from its PGF
• 2Mean of a geometric distribution
• 3Variance of a binomial from its PGF
• 4Sum of two independent Poissons
• 5Identifying the distribution of a binomial sum
• 6Mean and variance from a polynomial PGF

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6