For each of the following examples, decide whether x is a binomial random variable and explain your decision:

a. A manufacturer of computer chips randomly selects 200 chips from each hour’s production in order to estimate the proportion of defectives. Let x represent the number of defectives in the 200 chips sampled.

b. Of six applicants for a job, two will be selected.

Although all applicants appear to be equally qualified, only four have the ability to fulfill the expectations of the company. Suppose that the two selections are made at random from the six applicants, and let x be the number of qualified applicants selected.

c. The number of calls received at a fire service station is denoted by x. Let x represent the number of calls received on the hot line during a specified workday.

d. In a state there are two types of voters, one who favors the state income tax and the other who does not in light of the state’s current fiscal condition. Suppose a poll of 2,000 registered voters is conducted to determine how many would favor a state income tax in light of the state’s current fiscal condition. Let x be the number in the sample who would favor the tax.