For any distribution with mean m = 0 and standard deviation , the ratio /m is called

For any distribution with mean m = 0 and standard deviation σ, the ratio σ/m is called a coefficient of variation (c.v.).

(a) Will the c.v. change if we multiply the r.v. by a number c = 0?

(b) Does the c.v. of a Γ-distribution depend on the scale parameter a?

(c) Compute the c.v. of the Γ-distribution. What can you say if it is equal to (i) one, (ii) one-fourth?