Question 1 (3 points)

Q11. Suppose 5 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 34 million citizens in the United States, 4 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	59
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 4.
• 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 40 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 6 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:

Question 1 (3 points)

Q1. 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 8.
• Characters can be special characters, digits, or letters.
• Characters may be repeated.

Your Answer:

Question 1 options:

Answer

Question 2 (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 9.
• Characters can be special characters, digits, or letters.
• The first character must be a letter.
• Characters may be repeated.

Your Answer:

Question 2 options:

Answer

Question 3 (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?

Your Answer:

Question 3 options:

Answer

Question 4 (3 points)

Q5. If 13 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 13 students?

Your Answer:

Question 4 options:

Answer

Question 5 (3 points)

Q10. A ternary string is an ordered string of characters which consists of digits (0,1, or 2). For example, the ternary string 2122010 consists of exactly 2 zero's, 2 one's and 3 two's; another ternary string meeting these conditions is 0021221.

How many ternary strings are there with exactly 4 zero's, 2 one's and 4 two's?

Your Answer: