Question

In: Statistics and Probability

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance...

  1. Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B.

    a) Is the acceptance decision at University A independent of the acceptance decision at University B?  

  1. What is the probability that Joe will be accepted at both universities?
  2. What is the probability that Joe will be accepted at University A and rejected at University B?
  3. What is the probability that Joe will not be accepted at either university?
  4. What is the probability that Joe will be accepted by at least one of the two universities?
  5. What is the probability that Joe will be accepted at one, and only one, university?


Can someone please help me with these questions with steps for Statistics for the business course??

Solutions

Expert Solution


Related Solutions

Thomas is considering pursuing 2 different jobs. In the first period, he must pay for education...
Thomas is considering pursuing 2 different jobs. In the first period, he must pay for education and then in the second period he earns money (he only lives for 2 periods). Job A requires $10,000 in education in the first period and then he earns $80,000 in the second period. Job B requires $45,000 in education in the first period and then he earns $120,000 in the second period. a. Suppose Thomas can lend and borrow money at a 5...
A friend of yours is working toward a master of business administration (MBA) degree. He e-mails...
A friend of yours is working toward a master of business administration (MBA) degree. He e-mails you the following note: "Hey! How are things going? I need your help! We are studying income taxes in my Financial Accounting class and just finished talking about deferred taxes. I think the professor said something about adjusting the value of deferred taxes when it's an asset but not when it's a liability. When I looked at my homework problem, the balance sheet shows...
You are 30 years old and are considering full-time study for an MBA degree. Tuition and...
You are 30 years old and are considering full-time study for an MBA degree. Tuition and other direct costs will be $20,000 per year for two years. In addition, you will have to give up a job with a salary of $40,000 per year. However, if you go on for two more years of graduate study, you can increase your earnings to $45,000 per year. Assume a real interest rate of 4% per year and ignore taxes. Also assume that...
Joe is 40 years old and considering quitting his job to return for a college degree....
Joe is 40 years old and considering quitting his job to return for a college degree. He needs two more years full-time. Tuition is $10,000 per year. He earns $30,000 per year. A college degree would raise his annual income by $10,000 per year. He will retire at age 70. From an investment standpoint, should Joe go back full-time to school?
Problem 2: You have applied to two universities X and Y for graduate admission. There is...
Problem 2: You have applied to two universities X and Y for graduate admission. There is a .25 chance that you are going to get into X and .20 chance that you are going to get into Y. Keep in mind that admission into the universities is independent events. a)    What is the probability that you are going to get into both universities? b)     What is the probability that you are going to get into at least one university? c)   ...
Degree of Operating Leverage, Percent Change in Profit Ringsmith Company is considering two different processes to...
Degree of Operating Leverage, Percent Change in Profit Ringsmith Company is considering two different processes to make its product—process 1 and process 2. Process 1 requires Ringsmith to manufacture subcomponents of the product in-house. As a result, materials are less expensive, but fixed overhead is higher. Process 2 involves purchasing all subcomponents from outside suppliers. The direct materials costs are higher, but fixed factory overhead is considerably lower. Relevant data for a sales level of 31,000 units follow:     Process...
Ms. Taylor is 21 years old and she just obtained her MBA degree. She is considering...
Ms. Taylor is 21 years old and she just obtained her MBA degree. She is considering the following two career options: (a)Start working now, earning an annual salary of $60,000 in each of next 44 years. (b)Enroll in a PhD program, in 4 years and subsequent work for 40 years, earning each year the salary of $120,000. Assume that her educational expenses at the end of each of 4 years will be $30,000. Also, assume that the relevant annual interest...
Joe has 7 shirts and he ranks them: he has a favorite one, a second favorite...
Joe has 7 shirts and he ranks them: he has a favorite one, a second favorite etc. Each day of the week (=7 days) he wears a new one and the one worn that day goes to the laundry and stays in the laundry for the remainder of the procedure.The new one is picked randomly from those which are clean at that moment. The following procedure starts on Monday: on any given day, if Joe wears his favorite shirt, he...
Anna has just completed her undergraduate degree and is already planning to enter an MBA program...
Anna has just completed her undergraduate degree and is already planning to enter an MBA program one year from today. The MBA tuition will be $7,000 per year for 2 years, paid at the beginning of each year. In addition, Anna would like to retire 20 years from today and spend $50,000 every year for 10 years (years 20-29, withdrawn at the beginning of each year). To fund her expenditures, Anna will save money at the end of year 0...
Greta, an elderly investor, has a degree of risk aversion of A = 4 when applied...
Greta, an elderly investor, has a degree of risk aversion of A = 4 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 8% per year, with a SD of 18%. The hedge fund risk premium is estimated at 10% with a SD of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT