Question

Let x b e a random variable with probability distribution function (p.m.f.) px (x) = x2/a if x ∈{−3, −2, −1, 0, 1, 2, 3},

Answer 1

The random variable X represents the possible outcomes of an experiment or event, with values -3, -2, -1, 0, 1, 2, and 3. The distribution of X is given by the probability distribution function px(x) = x^2/a.

Step-by-step explanation:

a. In words, define the random variable X:
The random variable X represents the possible outcomes of an experiment or event. In this case, it represents the values -3, -2, -1, 0, 1, 2, and 3.

b. List the values that X may take on:
X may take on the values -3, -2, -1, 0, 1, 2, and 3.

c. Give the distribution of X:
The distribution of X, written as X~ is given by the probability distribution function (p.m.f.) px(x) = x^2/a. This function assigns a probability to each value of X.