A random variable X with cdf F03) is said to have symmetric distribution if there exists a value m such that F(m:r:) = 1 F(m+:r} for all .1: Z 0. (a) Suppose F is continuous and symmetric about m. What is F(m)? (b) Suppose F has pdf an). Show that F is symmetric if and only if there exists m such that f (m 11:) = f(m+:r] for all :1: Z 0. (c) Which of the following are symmetric1 and if so, what is m: Uniform[a1 b], Exponential()\\)1 Norma.1(,u,, 0'2]