Suppose that half the population is healthy and the other half is unhealthy. If an insured healthy person gets sick, the full cost to the insurance company is $1,000. If an insured unhealthy person gets sick, the cost to the insurance company is $10,000. In a given year, any one person (healthy or unhealthy) has a 40% chance of getting sick. People know whether they are healthy but the insurance company does not. The insurance company offers complete, actuarially fair insurance at the same price to everyone. The insurance company covers all medical expenses of its policyholders, and its expected profit is zero. If everyone purchases insurance, what is the price of the insurance? The price of insurance for everyone is $ nothing. (round your answer to the nearest dollar)

Shareholders of tesla recently expressed concerns that elon musk should give up some of his power on tesla's board by appointing two independent directors. which of the following is not a reason why elon musk is perceived to have significant power over tesla's board? 1. he is the founder of the firm and a successful entrepreneur, thus board members may be hesitant to challenge him.2. as the ceo and chairman of the firm he can easily determine what the board should discuss and how it should vote on strategic issues.3. all board members, except for kimbal, have been appointed to the board during elon's tenure.4. many of the firm's directors are outsider investment managers whose interests would not be aligned with those of firms' shareholders.

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.

At a small store, a customer enters the front door on average every 8 minutes. a prior study indicated that the time between customers entering the front door during weekdays follows an exponential distribution. what is the probability that the time between customers entering the store on a weekday will be less than or equal to 7? select one: a. 62 b. 43 c. 1/8 d. 7/8 e. 58