The instructor at a stretching class noticed that in a group of 20, 10 people wore only socks, 3 people wore only shoes, and a total of 9 people wore socks or shoes (some people wore both). Determine how many people wore socks and shoes.

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.