Solve s = 2ab + 2bc + 2ac for b a) s - 4a c b) s 2(a + c) c) s a + b + c d) s - 2ac 2a + 2c

The random variable x has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 show that k = 2/9 find 2 e(x), 3 the mode of x, 4 the cumulative distribution function f(x) for all x. 5 evaluate p(x ≤ 2.5). 6 deduce the value of the median and comment on the shape of the distribution.