Write the equation of the line that passes through (–2, 6) and (2, 14) in slope-intercept form. y = 2x – 2 y = 2x + 10 y = 0.5x + 7 y = 0.5x – 4

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.