7. Manuel buys his grandmother a bunch of flowers for $12.95 and buys some candy for his mother for $2.76. If he has $7.83 left, how much money did he start with? Show or explain your work.

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.