An assembly consists of three mechanical components. suppose that the probabilities that the first, second, and third components meet specifications are 0.93, 0.98, and 0.99. assume that the components are independent. let x be the number of components that meet specifications. determine the probability mass function of x. round your answers to five decimal places (e. g. 98.76543).

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Jen left a job paying $75,000 per year to start her own florist shop in a building she owns. the market value of the building is $120,000. she pays $35,000 per year for flowers and other supplies, and has a bank account that pays 5 percent interest. what is the economic cost of jen's business?

Gyou are in charge of making the work schedule for the next two weeks. typically this is not a difficult task as you work at a routine 8am – 5pm company. however, over the next two weeks you are required to schedule someone to be in the office each saturday. after contemplating this for a few days you make the schedule and assignments. before posting the schedule for everyone you decide that it is a good idea to meet personally with the two people you have scheduled to work the weekend. what do you say to them? what is your desired outcome?