2.2 ( ) The form of the Bernoulli distribution given by (2.2) is not symmetric between the two values of x. In some situations, it will be more convenient to use an equivalent formulation for which x ∈ {−1, 1}, in which case the distribution can be written p(x|μ) =



1 − μ

2

(1−x)/2 

1 + μ

2

(1+x)/2

(2.261)

where μ ∈ [−1, 1]. Show that the distribution (2.261) is normalized, and evaluate its mean, variance, and entropy.