In each of the following cases, decide whether a binomial distribution is an appropriate model, and give your reasons. 1. a firm uses a computer-based training module to prepare 20 machinists to use new numerically controlled lathes. the module contains a test at the end of the course; x is the number who perform satisfactorily on the test. 2. the list of potential product testers for a new product contains 100 persons chosen at random from the adult residents of a large city. each person on the list is asked whether he or she would participate in the study if given the chance; x is the number who say "yes". 3. either in a job you currently have or one that you would like to have, describe a data set you could collect that would be in the binomial setting.

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business. the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?

This exercise illustrates that poor quality can affect schedules and costs. a manufacturing process has 130 customer orders to fill. each order requires one component part that is purchased from a supplier. however, typically, 3% of the components are identified as defective, and the components can be assumed to be independent. (a) if the manufacturer stocks 130 components, what is the probability that the 130 orders can be filled without reordering components? (b) if the manufacturer stocks 132 components, what is the probability that the 130 orders can be filled without reordering components? (c) if the manufacturer stocks 135 components, what is the probability that the 130 orders can be filled without reordering components?

Suppose portugal has 700 workers and 26,000 units of capital, and france has 18,000 workers and 700 units of capital. technology is identical in both countries. assume that wine is the capital-intensive good and cloth is the labor-intensive good. which of the following statements is correct if the nations start trading with each other? a) wages will increase in portugal. b) rental rates in france will increase. c) wages in france will decrease. d) rental rates in portugal will increase.