Question 1 (3 points)

Q3. A project manager must select four analysts from her group to write four different software functions. There are 6 junior and 6 senior analysts in her group. The first and fourth functions can be written by any of the analysts. The second function must be written by a senior person and the third function must be written by a junior person. How many ways are there for her to assign the analysts to the functions if no person can be assigned to more than one function?

Your Answer:

Question 1 options:

Answer

Question 2 (3 points)

Q6. Suppose a network has 37 servers of which 8 fail. How many possibilities are there for the 8 that fail?

Your Answer:

Question 2 options:

Answer

Question 3 (3 points)

Q7. 20 people have volunteered for a 5-person neighborhood advocacy committee. 10 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 3 local business owners are represented?

Your Answer:

Question 3 options:

Answer

Question 4 (3 points)

Q8. A search committee was formed to find a new software engineer from a set of 50 applicants. The total set of applicants was then reduced to 10 candidates to consider for interviews. If 3 of the 10 are selected for an interview, how many ways are there to pick the set of people who are interviewed?

Your Answer:

Question 4 options:

Answer

Question 5 (3 points)

Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The total set of applicants was then reduced to 11 candidates to consider for interviews, and 8 of them were selected for an interview. Among those who are interviewed, the committee will rank the top three candidates and submit the list to their boss who will make the final decision. How many ways are there to create the ranked list from the 8 interviewees?

Your Answer:

Q11. Suppose6 coins are tossed. Find the probability of tossing no heads. (Round to four decimal places.)

Your Answer:

Question 1 options:

Answer

Question 2(3 points)

Q12. According to a recent survey of 50 million citizens in the United States, 8 million were planning to start a new degree program or continue their education in the next year.

According to this data, what is the probability that a random U.S. citizen you meet is not planning to start a new degree program or continue their education in the next year? (Round to four decimal places.)

Your Answer:

Question 2 options:

Answer

Question 3(3 points)

Q13. A sample of consumers was surveyed about their purchasing habits, and the responses are summarized in the table below.

	Shops online for grocery delivery.	Shops at a physical store for groceries.
Lives within 10 miles of the nearest grocery store.	24	148
Lives more than 10 miles away from the nearest grocery store.	176	15

What is the probability a consumer shops at a physical store for groceries? (Round to four decimal places.)

Your Answer:

Question 3 options:

Answer

Question 4(3 points)

Q14.A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows:

• A: The blue die shows a number greater than 1.
• B: The red die shows a number less than 5

What is p(A|B)? (Round to four decimal places.)

Your Answer:

Question 4 options:

Answer

Question 5(3 points)

Q15. In a network of 33 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 10 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (Round to four decimal places.)

Your Answer:

Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $3. If the die comes up 2 or 3, the player wins $1. For all other outcomes, the player loses $2. What is the expected amount that the player wins or loses? (Round to the nearest cent. Do not enter $ sign.)

Your Answer:

Question 1 options:

Answer

Question 2(3 points)

Q17. A single share of a stock was purchased prior to the company's release of its quarterly report. There is a 59% chance that the company will meet the quarterly sales expectations for its new product two weeks from now, and the value of the stock will go to $300. Otherwise, the company will not meet the quarterly sales expectations, and the value of the stock will go down to $100. What is the expected value of the stock two weeks from now? (Round to the nearest dollar. Do not enter $ sign.)

Your Answer:

Question 2 options:

Answer

Question 3(3 points)

Q18. A biased coin is flipped 5 times. In a single flip of the coin, the probability of heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are mutually independent. What is the probability the first two flips come up heads and the rest of the flips come up tails? (Round to four decimal places.)

Your Answer:

Question 3 options:

Answer

Question 4(3 points)

Q19. A sample of consumers was surveyed about their purchasing habits, and the responses are summarized in the table below.

	Shops online for grocery delivery.	Shops at a physical store for groceries.
Lives within 10 miles of the nearest grocery store.	24	120
Lives more than 10 miles away from the nearest grocery store.	139	15

What is the probability a consumer lives within 10 miles of the nearest grocery store and shops at a physical store for groceries? (Round to four decimal places.)

Your Answer:

Question 4 options:

Answer

Question 5(3 points)

Q20. A sample of consumers was surveyed about their purchasing habits, and the responses are summarized in the table below.

	Shops online for grocery delivery.	Shops at a physical store for groceries.
Lives within 10 miles of the nearest grocery store.	20	142
Lives more than 10 miles away from the nearest grocery store.	114	5

What is the probability a consumer shops at a physical store for groceries, given they live within 10 miles of the nearest grocery store? (Round to four decimal places.)

Your Answer: