A shipment contains 100 very old Casio calculators, exactly 20 of which are defective. You randomly sample three calculators with replacement. Let X be the random variable defined by the number of defective calculators in your sample. (a) A random variable is a function, and a function is a set of ordered pairs. That is, a function maps each member of the domain to exactly one member of the codomain, which creates a act of ordered pairs. Write A as a set of ordered pairs. (b) Represent the probability masa function (pmf) of X as a table and as a graph. Label the table's columns and the graph's axes appropriately. (c) What is the probability that you select two or fewer defective calculators? (d) What famous random variable is X? What are the values of its parameters