Question 4 (3 points)

Q4. Suppose account numbers for an internet service provider consist of alpha-numeric characters. The first character is a digit (0 through 9). The next 6 characters are capital letters (A through Z) and the last four characters are digits.

How many account numbers are possible if no digit appears more than once?

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Question 4 options:

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Question 5 (3 points)

Q12. According to a recent survey of 32 million citizens in the United States, 3 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.)

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Question 5 options:

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Question 6 (3 points)

Q3. A project manager must select four analysts from her group to write four different software functions. There are 4 junior and 7 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?

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Question 6 options:

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Question 7 (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	23
Lives more than 10 miles away from thenearest 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 7 options:

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Question 8 (3 points)

Q15. In a network of 34 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 8 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.)

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Question 8 options:

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Question 9 (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 8 candidates to consider for interviews. If 3 of the 8 are selected for an interview, how many ways are there to pick the set of people who are interviewed?

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Question 9 options:

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Question 10 (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 2.
• B: The red die shows a number less than 4

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

Your Answer:

Question 10 options:

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Question 11 (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	121
Lives more than 10 miles away from the nearest grocery store.	117	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:

Question 11 options:

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Question 12 (3 points)

Q5. If 16 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 16 students?

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Question 12 options:

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Question 13 (3 points)

Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $5. If the die comes up 2 or 3, the player wins $2. 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.)

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Question 13 options:

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Question 14 (3 points)

Q17. A single share of a stock was purchased prior to the company's release of its quarterly report. There is a 37% 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 $430. 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.)

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Question 14 options:

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Question 15 (3 points)

Q7. 20 people have volunteered for a 5-person neighborhood advocacy committee. 12 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 2 local business owners are represented?

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Question 15 options:

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Question 16 (3 points)

Q6. Suppose a network has 34 servers of which 7 fail. How many possibilities are there for the 7 that fail?

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Question 16 options:

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Question 17 (3 points)

Q18. A biased coin is flipped 8 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.)

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Question 17 options:

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Question 18 (3 points)

Q2. Consider the following options for characters in setting a password:

• Digits = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
• Letters = { a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z }
• Special characters = { *, &, $, # }

Compute the number of passwords possible that satisfy these conditions:

• Password must be of length 5.
• Characters can be special characters, digits, or letters.
• The first character must be a letter.
• Characters may be repeated.

Your Answer:

Question 18 options:

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Question 19 (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	148
Lives more than 10 miles away from the nearest grocery store.	146	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.)

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Question 19 options:

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Question 20 (3 points)

Q11. Suppose 5 coins are tossed. Find the probability of tossing no heads. (Round to four decimal places.)

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Question 20 options:

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