1.For each situation, state if a binomial or Poisson distribution is reasonable for the random variable X . Justify your answer.

1)Of seven applicants for a teaching assistant (TA) job, two will be selected. Although all applicants appear to be equally qualified, only three have the ability to fulfill the expectation of the TA position. Suppose the two selections are made at random from the seven applicants, and let represent the number of qualified applicants selected.

2)A manufacturer of medical devices randomly selects 100 devices from each hour's production in order to estimate the proportion defectives. Let X be the number of defectives in the 100 sampled devices.

3)A pharmaceutical company establishes a support hotline for customers to call in with questions regarding use of the new drug. Let X represent the number of calls received on the support hotline during a specified workday.

4)Texas is one of a minority of states with no state income tax. A poll of 1000 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.