Consider a distribution with the density function f(x) = x^2/3
for −1 ≤ x ≤ 2.
(a) Randomly pick a sample of size 20 from this distribution, find
the probability that there are 2 to 4 (inclusive) of these taking
negative values.
(b) Randomly pick an observation X from this distribution, find the
probability that it is between 1.2 and 1.4, i.e., P (1.2 < X
< 1.4).
(c) Randomly pick a sample of size 40 from this distribution, and...