The graphs below have the same shape. What is the equation of the red graph?
5
f(x) = 4 – x²
-5
5
g(x) = ?
g(x) =
A. g(x) = (1 - x)2
B. g(x) = (7 – x)2
C. g(x) = 1 - x2
D. g(x) = 7 - x2

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.