The police went on a wild chase to catch a man speeding through town in a black pick-up truck. at times their speeds exceeded 105 kilometers per hour. at that rate, how many kilometers would the car go in 20 minutes? (round to the nearest whole kilometer)

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.