Question 1

Solve the problem.
-How many 7-symbol codes can be formed using 4 different symbols? Repeated symbols are allowed.

Accepted Answer

A) 16,384 
B) 210 
C) 35 
D) 840 
A) 16,384 
B) 210 
C) 35 
D) 840

Question 2

Solve the problem.
-Among a group of 85 investors, 27 owned shares of Stock A, 34 owned shares of Stock B, 44 owned sharesof Stock C, 12 owned shares of both Stock A and Stock B, 13 owned shares of Stock A and Stock C, 18owned shares of Stock B and Stock C, and 8 owned shares of all three. How many investors did not haveshares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?

Accepted Answer

A) 15; 36 
B) 23; 31 
C) 15; 31 
D) 15; 39 
A) 15; 36 
B) 23; 31 
C) 15; 31 
D) 15; 39

Question 3

Solve the problem.
-During July in Jacksonville, Florida, it is not uncommon to have afternoon thunderstorms. On average,12.2 days have afternoon thunderstorms. What is the probability that a randomly selected day in July willnot have a thunderstorm? Round to two decimal places, if necessary.

Accepted Answer

A) 0.61 
B) 0.59 
C) 0.39 
D) 0.88 
A) 0.61 
B) 0.59 
C) 0.39 
D) 0.88

Question 4

Find the value of the combination.
-C(7, 7)

Accepted Answer

A) 1 
B) 5,040 
C) 1,260 
D) 0.5 
A) 1 
B) 5,040 
C) 1,260 
D) 0.5

Question 5

Solve the problem.
-In a survey about the number of siblings of college students, the following probability table was constructed   What is the probability that a student has at most 2 siblings?

Accepted Answer

A) 0.77 
B) 0.23 
C) 0.41 
D) 0.59 
A) 0.77 
B) 0.23 
C) 0.41 
D) 0.59

Question 6

Solve the problem.
-List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What isP(4, 3)?

Accepted Answer

A) 123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431 P(4, 3)= 24 
B) 123, 124, 134, 234 P(4, 3)= 4 
C) 123, 124, 132, 142, 143, 213, 214, 231, 241, 243, 312, 314, 321, 341, 342, 412, 413, 421, 423, 431 P(4, 3)= 20 
D) 111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334,
341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444
P(4, 3)= 64 
A) 123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431 P(4, 3)= 24 
B) 123, 124, 134, 234 P(4, 3)= 4 
C) 123, 124, 132, 142, 143, 213, 214, 231, 241, 243, 312, 314, 321, 341, 342, 412, 413, 421, 423, 431 P(4, 3)= 20 
D) 111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334,
341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444
P(4, 3)= 64

Question 7

Solve the problem.
-In a survey about the number of siblings of college students, the following probability table was constructed   What is the probability that a student has 1, 2, or 3 siblings?

Accepted Answer

A) 0.64 
B) 0.5 
C) 0.32 
D) 0.9 
A) 0.64 
B) 0.5 
C) 0.32 
D) 0.9

Question 8

Solve the problem.
-In a survey about the number of siblings of college students, the following probability table was constructed   What is the probability that a student has less than 2 siblings?

Accepted Answer

A) 0.58 
B) 0.23 
C) 0.77 
D) 0.19 
A) 0.58 
B) 0.23 
C) 0.77 
D) 0.19

Question 9

Solve the problem.
-The table below shows the results of a consumer survey of annual incomes in 100 households.   What is the probability that a household has an annual income less than $25,000?

Accepted Answer

A) 0.3 
B) 0.7 
C) 0.22 
D) 0.6 
A) 0.3 
B) 0.7 
C) 0.22 
D) 0.6

Question 10

Write the word or phrase that best completes each statement or answers the question.
Construct a probability model for the experiment.
-Tossing one fair coin three times

Accepted Answer

S = {HHH, HTH, HHT,

Solve the problem. -How many 7-symbol codes can be formed using 4 different symbols? Repeated symbols are allowed.

Solve the problem. -During July in Jacksonville, Florida, it is not uncommon to have afternoon thunderstorms. On average,12.2 days have afternoon thunderstorms. What is the probability that a randomly selected day in July willnot have a thunderstorm? Round to two decimal places, if necessary.

Find the value of the combination. -C(7, 7)

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed What is the probability that a student has at most 2 siblings?

Solve the problem. -List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What isP(4, 3)?

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed What is the probability that a student has 1, 2, or 3 siblings?

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed What is the probability that a student has less than 2 siblings?

Solve the problem. -The table below shows the results of a consumer survey of annual incomes in 100 households. What is the probability that a household has an annual income less than $25,000?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Tossing one fair coin three times

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Graphing Utilities

Filters

Exam 10: Counting and Probability