‼️HEL IMMEDIATELY PLEAS‼️ 3. There are ten candidates for a job. The search committee will choose
four of them, and rank the chosen four from strongest to weakest.
How many different outcomes are possible? Show all your evidence of
understanding.

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.