Practice: The Mean and Variance of Binomial Distribution
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Recall that the pmf of a Binomial distribution Binom (n, p), with known n can be written as:
$$f_0(y) = exp\left(\frac{y\theta - b(\theta)}{\phi} + c(y, \phi)\right).$$
Refer to the answer of b (0) and $ to the problem Practice: Binomial Distribution as a Canonical Exponential
Family 2 pages before this one.
Compute b' (0).
b' (θ) =
(Is this equal to E [Y]?)
Compute $b" (0).
$b" (0) =
Note: Express your answers in terms of the canonical parameter 0.
STANDARD NOTATION
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