Chapter 8, Problem 8.3TE

Compute the measurement signal-to-noise ratio-that is $\frac{\left|\mu \right|}{\sigma }$, where $\mu =E\left[X\right]$ and ${\sigma }^2=\mathrm{var}\left(X\right)$ -of the following random variables:

a. Poisson with mean $\lambda$;

b. binomial with parameters n and p;

c. geometric with mean $\frac{1}{p}$;

d. uniform over (a, b);

e. exponential with mean $\frac{1}{\lambda }$;

f. normal with parameters $\mu ,{\sigma }^2$.