Hi everyone. may you me with this problem? i need to know how many solutions there are to this problem: -3p + 8 = -3p part of me thinks it's one solution - but i want to make sure or if not what i'm missing. for your : )

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.