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.
Students are getting signatures for a petition to increase sports activities at the community center. the number of signatures they get each day is 3 times as many as the day before. the expression 3^6 represents the number of signatures they got on the sixth day. how many signatures did they get on the first day?