SUBJECT: MATH : Quantitative Methods for Business and Finance. Course Symbol: MAT 128

Please answer the questions below.

PLEASE DO NO WORRY ABOUT THE MARKS: EXAMPLE : 2 MARKS, 3 MARKS OR 4 MARKS. BECAUSE THEY ARE NOT PART OF THE QUESTIONS

D Question 12 2 pts 12. Consider the following set of sample data: 54,78,64,82 (a) (2 marks) Find the mean of this set of data. (b) (2 marks) Find the median of this set of data. (c) (3 data) Find the standard deviation, s, of this set of sample data.D Question 13 2 pts 13. The average weight of 13,000 people in a random sample is 200 pounds. The standard deviation is 20 pounds. The weights have a normal distribution. (a) (2 marks) Estimate how many people in the sample weigh between 180 pounds and 220 pounds. (b) (2 marks) Estimate how many people in the sample weigh between 160 pounds and 200 pounds. (c) (2 marks) Estimate how many people in the sample weigh less than 140 pounds. Please type your numerical answer to part (a) in the input box. (Your work and answers for all parts should be uploaded for the "Final Exam Submission" assignment).Question 14 4 pts 14. Suppose that a company has 15 full-time employees and 7 part-time employees. How many ways are there to form a committee with five members if it must have exactly three full-time employees and two part-time employees?\fD Question 10 3 pts 10. Suppose you invest $30,000 in a CD on January 1, 2020 maturing in 14 years that pays interest of 6% per year compounded quarterly (meaning every three months) and credited at the end of each three month period. You don't withdraw any money from the CD during the term. (a) (3 marks) How much money will be in the CD account when it matures, namely 14 years after January 1, 2020? (b) (2 marks) What is the effective annual rate of interest on this CD?D Question 11 4 pts 11. Suppose you are hired on January 1, 2020 and start depositing $200 at the end of each month, with the first deposit on January 31, 2020, in a pension fund that pays interest of 8% per year compounded monthly on the minimum monthly balance and credited at the end of each month. (a) (2 marks) How much money is in the pension fund on March 1, 2020? (b) (2 marks) How much money is in the pension fund on April 1, 2020? (c) (4 marks) How much money will be in the pension fund on January 1, 2045? (d) (2 marks) What is the total amount of interest earned in this pension fund during these 25 years