Military radar and missile detection systems are designed to warn a country of enemy attacks. a reliability question deals with the ability of the detection system to identify an attack and issue the warning. assume that a particular detection system has a 0.90 probability of detecting a missile attack. answer the following questions using the binomial probability distribution.

a. what is the probability that 1 detection system will detect an attack?
b. if 2 detection systems what is the probability that at least 1 of the systems will detect the attack? are installed in the same area and operate independently
c. if 3 systems are installed, what is the probability that at least 1 of the systems will detect the attack?
d. would you recommend that multiple detection systems be operated? explain 3. the time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)-0.50e a.50x for x 0 what is the mean time between telephone calls? a. what is the probability of 30 seconds or less between telephone calls?

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.

Exercise 18-15 sheffield appliance center is an experienced home appliance dealer. sheffield appliance center also offers a number of services for the home appliances that it sells. assume that sheffield appliance center sells ovens on a standalone basis. sheffield appliance center also sells installation services and maintenance services for ovens. however, sheffield appliance center does not offer installation or maintenance services to customers who buy ovens from other vendors. pricing for ovens is as follows. oven only $790 oven with installation service 850 oven with maintenance services 970 oven with installation and maintenance services 990 in each instance in which maintenance services are provided, the maintenance service is separately priced within the arrangement at $180. additionally, the incremental amount charged by sheffield appliance center for installation approximates the amount charged by independent third parties. ovens are sold subject to a general right of return. if a customer purchases an oven with installation and/or maintenance services, in the event sheffield appliance center does not complete the service satisfactorily, the customer is only entitled to a refund of the portion of the fee that exceeds $790. assume that a customer purchases an oven with both installation and maintenance services for $990. (b) indicate the amount of revenue that should be allocated to the oven, the installation, and to the maintenance contract.

There is just one person in our group, silvia, who seems to have radically different ideas about how to complete our project. she seems to purposely disagree with the majority opinions of the rest of us though yesterday she said something that made a lot of sense to us solve our production problem. i suggested to the entire group today that we hear silvia’s suggestions and asked silvia to share in-depth more of what she said yesterday. i am using which adaptive leader behavior?