Which function is continuous across its domain? OA.
I +6, -4 f(1) = {0.5x2, -2 < I<4
20 – 31, 4 SI<8
o
B.
I + 4, -4 f(1) = {0.5x2, -2 25 - 3x, 4 < t < 8
OC. .
I + 4, -4 << -2
(*) = 0.5x2, -2 < x <4
20 - 31, 4 OD
I - 2
(t) = 0.522
-4 < x <-2
-2 25
3
49

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.