Question

In: Statistics and Probability

1. In 2021 there will be 3 candidates for the post of Director- Mr. Arun, Mr....

1. In 2021 there will be 3 candidates for the post of Director- Mr. Arun, Mr. Varun, and Mr.
Tharun- whose chances of getting the appointment are in the proportion 3: 2: 4 respectively.
The probability that Mr. Arun if selected would introduce online-teaching in the college is
0.3. The probabilities of Mr. Varun and Mr. Tharun doing the same are respectively 0.5 and
0.8. (a) What is the probability that there will be online-teaching in the college in 2022? (b) If
there is online-teaching in the college in 2022, what is the probability that Mr. Tharun is the

Expert Solution

Solution :

Let us define some events as follows :

A : Mr. Arun will get the appointment

B : Mr. Varun will get the appointment

C : Mr. Tharun will get the appointment

D : There will be online-teaching in the college

The proportion of getting appointment for Arun, Varun and Tharun is 3:2:4.

Total = (3 + 2 + 4) = 9

Hence, P(A) = 3/9 = 1/3, P(B) = 2/9, P(C) = 4/9

Also we are given following informations :

P(D | A) = 0.3, P(D | B) = 0.5, P(D | C) = 0.8

a) We have to find P(D).

The event D will occur if either A and D occur or B and D occur and C and D occur.

P(D) = P(A ∩ D) + P(B ∩ D) + P(C ∩ D)

P(D) = P(D | A).P(A) + P(D | B).P(B) + P(D | C).P(C)

P(D) = (0.3 × (1/3)) + (0.5 × (2/9)) + (0.8 × (4/9))

P(D) = 0.1 + 0.1111 + 0.3556

P(D) = 0.5667

The What is the probability that there will be online-teaching in the college in 2022 is 0.5667.

b) We have to find P(C | D).

If there is online-teaching in the college in 2022, the probability that Mr. Tharun is appointed is 0.6275.

orchestra answered 2 years ago

As the HR Director, you are tasked with determining how to combine candidates' assessment scores (standardized...

As the HR Director, you are tasked with determining how to combine candidates' assessment scores (standardized interview, an intelligence test, and a work sample) and extending offers to the three most qualified candidates. Which method would you recommend for combining the scores? Why? What factors other than the assessment scores would you take into account before selecting the final candidates? Once the final candidates are selected, would it be fair to offer different starting salary rates if needed to get...

You are the nurse caring for Mr. Noah Poupe. He is day 3 post-op from abdominal...

You are the nurse caring for Mr. Noah Poupe. He is day 3 post-op from abdominal surgery and has experienced N/V without relief, despite receiving anti-emetics. Since surgery he has no reports of flatus. His last BM was 4 days before surgery. This morning he had an NG tube in place for gastric decompression, and his NG tube is hooked up to low-intermittent suction. Mr. Poupe also has an NPO diet ordered. What does the term “gastric decompression” mean? How...

Exercise 5 Mr. Ahmed, MD of XYZ company wants to select one of the following candidates...

Exercise 5 Mr. Ahmed, MD of XYZ company wants to select one of the following candidates on the basis of their performance (marks) in the last 5 quarters of their MBA program. Quarter: I II III IV V Mr. Abdulla 95 90 85 80 75 Mr. Khalid 75 80 85 90 95 (i). Which candidate is more consistent, show the quantitative working? (ii). Which candidate you will recommend, show the quantitative working? Exercise 6 In a sample study about coffee-drinking habits in two towns, the following information was received. Town-A: Females were 40 percent. Total...

Mr. Sokol and Ms. Rivera are two candidates for the same advertising manager position. Sokol has...

Mr. Sokol and Ms. Rivera are two candidates for the same advertising manager position. Sokol has a consistent history of designing and implementing successful marketing campaigns. You as the potential employer have 100% certainty he will succeed if you hire him and bring in $800,000 more revenue each year. Rivera is a magazine writer and editor who has no experience in advertising but wants to break into this field. She has a track record of succeeding in all her previous...

It is 1 hour post-op, The SICU nurse is reassessing the patient. Assessment findings for Mr....

It is 1 hour post-op, The SICU nurse is reassessing the patient. Assessment findings for Mr. B include: Grimacing, can barely bend his fingers, coughing with some tears noted. Current vital signs are T97.8F, HR 130, B/P 168/102, breathing 25 breaths per minute on SIMV mode ventilation. What pain scale is appropriate for this patient? According to the scale, what is his score? Do his vital signs confirm this? What medications may be administered to control his pain? What should...

A poll was conducted on voter’s opinions on two candidates with margin of errors at 3%....

A poll was conducted on voter’s opinions on two candidates with margin of errors at 3%. Candidate B 35% Candidate C 39% Undecided 26% (a) What is the confidence interval for the undecided? (b) Which candidate has a lead? Is the lead statistically significant? Briefly justify your answer. (c) Assuming 95% of confidence level, estimate the number of people participated in the poll. Round your answer to the nearest whole number.

Brief Exercise 3-9 (Static) Calculating ratios [LO3-8] The following is a December 31, 2021, post-closing trial...

Brief Exercise 3-9 (Static) Calculating ratios [LO3-8] The following is a December 31, 2021, post-closing trial balance for Culver City Lighting, Inc. Account Title Debits Credits Cash $ 55,000 Accounts receivable 39,000 Inventory 45,000 Prepaid insurance 15,000 Equipment 100,000 Accumulated depreciation $ 34,000 Patent (net) 40,000 Accounts payable 12,000 Interest payable 2,000 Notes payable (due in 10 years) 100,000 Common stock 70,000 Retained earnings 76,000 Totals $ 294,000 $ 294,000 a. Calculate the current ratio. b. Calculate the acid-test ratio....

Post an explanation of the barriers of resistance you might face as an executive director trying...

Post an explanation of the barriers of resistance you might face as an executive director trying to get board members to commit to strategic planning and thinking. Explain how you maintain a relationship with the board while addressing and overcoming these barriers.

Mr. James is a Finance Director with a risk-averse type in making financial decisions. The list...

Mr. James is a Finance Director with a risk-averse type in making financial decisions. The list below is a list of 4 investment alternatives that Mr. Andi needs to decide. Asset Initial Investment Pessimistic Scheme Moderate Scheme Optimistic Scheme A 100.000 16% 24% 28% B 100.000 10% 24% 26% C 100.000 6% 24% 30% D 100.000 22% 24% 28% Which asset will Mr James take? Explain why?

Q7)Mr. Kleas was appointed as a director and signed a service contract which would last for...

Q7)Mr. Kleas was appointed as a director and signed a service contract which would last for 3 years as per the provisions of the agreement and in line with the articles of association. Due to trust issues, the shareholders had applied to the court, changed the articles and removed the director from its position. Require: Discuss whether Mr. Kleas can sue the company for compensation on the grounds of wrongful dismissal.