Question

An item is selected randomly from a collection labeled 1,2, ... , n. Denote its label by x. Now select an integer y uniformly at random from {i, ... ,x}. Find:

a) E(y)
b) E(y²)
c) SD(y)

Answer 1

The random variable X represents the label of the item selected randomly. The values X may take on are 1, 2, ..., n. The distribution of X is a discrete uniform distribution.

Step-by-step explanation:

The random variable X represents the label of the item selected randomly from a collection labeled 1, 2, ..., n.

The values that X may take on are 1, 2, ..., n.

The distribution of X is a discrete uniform distribution.