Kara rolled a number cube 10 times. The results of her rolls are shown
below.

1, 3, 3, 4, 6, 2, 2, 5, 3, 4
Based on Kara's results, what is the probability that her next roll
is either a 3 or 6?

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.