Compute the measurement signal to noise ratiothat is, , where E X and 2 Var(X)of the following random variables (a) Poisson with mean (b) Binomial with parameters n and p (c) Geometric with mean 1 p (d) Uniform over (a, b) (e) Exponential with mean 1 (f) Normal with parameters , 2 ...

Compute the measurement signal-to-noise ratiothat is, ||/, where = E[X] and 2 = Var(X)of the following

Question:

Compute the measurement signal-to-noise ratio—that is, |μ|/σ, where μ = E[X] and σ2 = Var(X)—of the following random variables:
(a) Poisson with mean λ;
(b) Binomial with parameters n and p;
(c) Geometric with mean 1/p;
(d) Uniform over (a, b);
(e) Exponential with mean 1/λ;
(f) Normal with parameters μ, σ2.