A survey conducted by a marketing agency in UK found that in a sample of 145 large companies, 30 offered stock options to their board members as part of their non- cash compensation packages. For small to midsized companies, 33 of the 67 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. I. Use the information above to set up a contingency table and a tabulated summary of joint and marginal probabilities. II. If a company is selected at random, showing the method, calculate the probability that the company offered stock options to their board members. If a company is selected at random, showing the method, calculate the probability that the company is small to mid-sized and did not offer stock options to their board members. III. IV. Is the size of the company independent of whether stock options are offered to their board members and why?

Harvard Pilgrim, an insurance company, has reimbursed Cooley DickinsonHospital for a large number of health services. It appears that overpayments may haveoccurred on many of the reimbursements due to errors in the billing process, or billing fora more expensive procedure than was actually performed. Cooley Dickinson claims that nomore than 1% of the reimbursements it has received have been overpayments. HarvardPilgrim suspects that it is being overcharged and wants to get its money back; so they hireyou to prove their claim. You audit a random sample of 500 reimbursements and find that20 of them involve overpayments. Perform an appropriate hypothesis test.

In a telephone survey of 1000 adults, respondents were asked about the expenses on a management education and relative necessity of some form of financial assistance. The respondents were classified according to whether they currently had a child studying in a school of management and whether they thought that the loan burden for most management students is too high, right amount, or too little. The proportions responding in each category are given below:                            Too High(A)     Right Amount(B)     Too Little(C) Child Studying          0.35                   0.08                      0.01management (D)No Child Studying    0.25                   0.20                      0.11Management (E)         Suppose one respondent is chosen at random from this group. Then (i) What is the probability that the respondent has a child studying management?(ii) Given that the respondent has a child studying management, what is the probability that he/she ranks the loan burden “too…

Federated South Insurance Company has developed a new screening program for selecting new sales agents. Their past experience indicates that 20% of the new agents hired fail to produce the minimum sales in their first year and are dismissed. Their ex- pectation is that this new screening program will reduce the percentage of failed new agents to 15% or less. If that occurs, they would save $1,000,000 in recruiting and training costs each year. At the end of the first year they want to develop an evaluation to determine if the new program is successful. The following questions are an important part of their re- search design.A total of 20 new agents were selected.a. If this group performs at the same level as past groups, what is the probability 17 or more success- fully meet their minimum sales goals in the first year?b. What is the probability 19 or more reach their min- imum sales goals given performance at the same level?c. If the program has actually increased the prob- ability of…

The chief loan officer of La Crosse Home Mortgage Company summarized the housing loans extended by the company in 2017 according to type and term of the loan. Her list shows that 70% of the loans were fixed-rate mortgages (F), 20% were adjustable-rate mortgages (A), and 10% belong to some other category (0) (mostly second trust-deed loans and home equity loans). Of the fixed-rate mortgages, 80% were 30-year loans and 20% were 15-year loans; of the adjustable-rate mortgages, 30% were 30-year loans and 70% were 15-year loans; finally, of the other loans extended, 30% were 20-year loans, 60% were 10-year loans, and 10% were for a term of 5 years or less. (a) Draw a tree diagram representing these data. 20 s 5 10 <=5 15 30 30 30 20 ca5 15 (b) What is the probability that a home loan extended by La Crosse has an adjustable rate and is for a term of 15 years? (c) What is the probability that a home loan extended by La Crosse is for a term of 15 years?

Please answer a, b, c and d

Amber purchased the August call option on Swiss francs with a strike price of $0.65/SF, paying a premium of $0.26/SF. When the spot rate is $0.85/SF, is Amber's call option at-the money (ATM), in-the-money (ITM), or out-of-the-money (OTM)? Why?

3. The income tax in a certain state is calculated as follows: 2% on the first GhC1000.00, 3% on the next GhC2000.00, 4% on the next GhC3000.00, and 5% thereafter. Find the tax to be paid by an individual who earns an income of GhC25000.00 per month.

Felicia is an unmarried college student with no dependents.Last year,she made $17,000 working parttime as a teacher aide.Each year she files taxes as Single, takes a standard deduction of $5700,and claims only herself as an exemption for $3650.Based on this information,what tax bracket does Felicia fall into?

Suppose that a car factory initially hires 1,500 workers at $30 per hour and that each worker works 40 hours per week. Then the factory unionizes, and the new union demands that wages be raised by 10 percent. The firm accedes to that request in collective bargaining negotiations but then decides to cut the factory’s labor force by 20 percent due to the higher labor costs. a. What is the new union wage? How many workers does the factory employ after the agreement goes into effect? b. How much in total did the factory’s workers receive in wage payments each week before the agreement? How much do the factory’s remaining workers receive in wage payments each week after the agreement? c. Suppose that the workers who lose their jobs as a result of the agreement end up unemployed. By how much do the total wages received each week by the initial 1,500 workers (both those who continue to be employed at the factory and those who lose their jobs) change from before the agreement to after the…