Mathematics · Moment Generating Functions
By using the uniqueness property of the Moment Generating Function (MGF), which of the following are CORRECTLY identified distributions? (A) M(t) = (12 + 12et)6 is a Binomial distribution with n = 6, p = 12 (B) M(t) = e3(et−1) is a Poisson distribution with λ = 3 (C) M(t) = e(et−1)/4 is a Poisson distribution with λ = 14 (D) M(t) = (q + pet)n where p + q = 1 is a Binomial distribution (E) M(t) = 4(3e−t−1)−2 is a Negative Binomial distribution Choose the correct answer from the options given below:
- 1A, B and C only
- 2B, C and D only
- 3A, B, C and D✓
- 4A, C and E only
Correct answer
A, B, C and D
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