Questions and Answers of Finite Mathematics And Its Applications

Eighteen percent of the world’s population live in China. The residents of Shanghai constitute 2% of China’s population. If a person is selected at random from the entire world, what is the
Malik remembers all but the last character of the password for his email account. However, he knows that it is a digit. He tries to log into his account by guessing the digit. What is the probability
Joe feels that the probability of his getting an A in history is .7, the probability of getting an A in psychology is .8, and the probability of getting an A in history or psychology is .9. What is
Six people check their coats at a restaurant’s coat-check counter. If the attendant returns the coats to the people at random, what is the probability that exactly five of the people receive the
A class of 30 students is given an exam. The instructor wants to know how the class performed, so they calculate the mean exam grade for the entire class. Determine whether the quantity
Simulate 10 free throws for a basketball player, whose career free throw average is 84%. How many of the shots were successful?
Students are queued up at the registrar’s office when the registration windows open at 8 a.m. There are four open windows; students approach the first open window as they advance to the front of
Twenty-six percent of all Americans are under 20 years old. What are the odds that a person selected at random is under 20? Twenty years old or over?
The table that follows was derived from a survey of college freshmen in 2019. Each probability is the likelihood that a randomly selected freshman applied to the specified number of colleges. For
State the inclusion–exclusion principle for two events.
What is the definition of Pr( E|F )?
A committee consists of five artists and five musicians. If three people are selected at random from the committee, what is the probability that they all will be artists?
A factory produces cell phones, which are packaged in boxes of 10. Three phones are selected at random from each box for inspection. The box is rejected if at least one of these three phones is
What is Bayes’ Theorem?
What is a tree diagram?
In tennis, when the player serving the ball serves the ball out of bounds they get to attempt a second and final serve. Knowing that they will get a second serve, the first serve is often made as
Convert the probability 3/7 to odds.
The probability that a graduate of a certain college will eventually earn a PhD degree is .05. What are the odds of a graduate of this college eventually earning a PhD degree?
Give quiz scores for two different classes. In each exercise, find the median score. 3 2 1 lu Il 2 3 4 Quiz Scores 0 1 UT 5
Give quiz scores for two different classes. In each exercise, find the median score. 1.0 5 4 3 2 0 0 1 2 1₁ 4 5 3 Quiz Scores
What is a bar chart? A pie chart? A histogram? A box plot?
One hundred randomly selected residents of a city participate in a census. The census bureau wants to understand the financial health of the city, so the mean income for those 100 residents is
The data in Table 12 has been tabulated for every minute of the (60-minute) rush hour. What percentage of the time is the waiting line 4 or more cars? Table 12 Number of Cars Waiting Number of
A community center sells 500 raffle tickets for $1 each, with a prize of $100 for the winning ticket. The center determines that the average participant will lose $.80 per ticket.Determine whether
A gambler plays a carnival game four times, with winnings of $5, $10, –$3, and –$7 in the four games. They conclude that their mean winnings were $0.Determine whether the quantity described is a
On each attempt, an archer has probability .3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
In 2021, the interest on the public debt accounted for about 7.8% of the federal budget. If the federal budget is displayed in a pie chart, what should be the size of the central angle of the sector
Tina and Amy play a game of chance in which a pair of fair dice is rolled once. If the sum rolled is 7 or 11, then Tina pays Amy $10. Otherwise, Amy pays Tina $3. In the long run, which player comes
Draw the box plot corresponding to the given five-number summary.min = 10, Q₁ = 13, Q₂ = 17, Q3 = 20, max = 25
Three members of a study group each earned a score of 91 on an exam, and the other five members of the group each earned a score of 87. What is the average score earned by the members of this study
When a coin is tossed 100 times, the probability of obtaining at most 49 heads is .4602 and the probability of obtaining 50 heads is .0796. (a) What is the probability of obtaining more than 50
The probability that a 20-year-old U.S. resident will live to be 100 is .019. What is the probability that at least two out of a group of seventy-seven 20-year-old U.S. residents will live to be 100?
José wants to earn a 90% overall average in his mathematics class. His current grades are 83%, 92%, and 89%. What grade does José need to average on the next three assessments to earn a 90% overall
Ten percent of the population is left-handed. What is the probability that, in a group of 10 people, at least two will be left-handed?
If 5, 6, and x have the same average as 2, 7, and 9, then what does x equal?
Three percent of the circuit boards produced by a certain machine are defective. What is the probability that a box of 20 circuit boards contains two or more defective boards?
A truck can carry a maximum of 75,000 pounds of cargo. How many cases of cargo can it carry if half of the cases have an average weight of 20 pounds and the other half have an average weight of 30
What is a Markov process?
What is a transition matrix? A stochastic matrix? A distribution matrix?
What is An ? Give an interpretation of the entries of An.
How is the nth distribution matrix calculated from the initial distribution matrix?
The Southwestern states were popular destinations in 2020. Suppose that Fig. 6 shows the percentages of people who moved in and out of the Southwest during 2020. At the beginning of 2020, about 13%
Explain why A2 must be a stochastic matrix if A is a stochastic matrix.
The Venn diagram in Fig. 10 classifies the 100 books in a family’s library as hardback (H), fiction (F), and children’s (C). refer to this Venn diagram.How many books are hardback, fiction, or
Calculate the value for each of Exercises. 7 3
Calculate the value for each of Exercises. 6 2
A U.S. car wholesaler with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer in Philadelphia needs 4 cars, and the dealer in Trenton needs 7.
Calculate the value for each of Exercises.C(18, 16)
Calculate the value for each of Exercises. C(25, 24)
Calculate the value for each of Exercises. ย) 8
Define a universal set.
Calculate the value for each of Exercises. 9 (%)
Calculate the value for each of Exercises. 7 (3)
The Venn diagram in Fig. 10 classifies the 100 books in a family’s library as hardback (H) , fiction (F) , and children’s (C) .refer to this Venn diagram.How many hardback books are fiction or
Define the empty set.
Calculate the value for each of Exercises. 8 8
The Venn diagram in Fig. 10 classifies the 100 books in a family’s library as hardback (H) , fiction (F) , and children’s (C) .refer to this Venn diagram.How many children’s books are hardback
Calculate the value for each of Exercises. (9) 1
Nineteen horses competed in the 2021 Kentucky Derby. Assuming no ties, how many possibilities were there for the first, second, and third place finishers?
Define the complement of the set A.
Define the intersection of the two sets A and B.
Calculate the value for each of Exercises. 9 (8)
Calculate the value for each of Exercises. n („²1)
Define the union of the two sets A and B.
There are 12 contestants in a contest. Two will receive trips around the world, four will receive cars, and six will receive TVs. In how many different ways can the prizes be awarded?
Calculate the value for each of Exercises. (3) n
What is meant by a permutation of n items taken r at a time?
Calculate the value for each of Exercises. n! n
Calculate the value for each of Exercises.0!
Calculate the value for each of Exercises.1!
State the binomial theorem.
Calculate the value for each of Exercises. 6 8+9+9+9+9+9+8) 3 6 0 6 6 2 6 4 6 5 6 6
Calculate the value for each of Exercises. 0 (9)+2)+(6+D+9+CD+D+O
If a set contains n elements, how many subsets does it have?
Explain what is meant by an ordered partition of a set.
In 1923, the U.S. Federal Communications Commission directed that all new radio stations east of the Mississippi River have call letters beginning with the letter W. How many different three- or
In 2021, there were three women and six men on the United States Supreme Court. In how many ways could the justices be seated in a row for a group picture where no women sat next to each other?
Determine the last three terms in the binomial expansion of (x + y)¹5.
A total of 962 people and organizations have received Nobel Prizes by 2020. Fourteen of the 117 prizes in literature were awarded to Scandinavians. Scandinavians received a total of 58 awards. How
A bag of 10 apples contains 2 rotten apples and 8 good apples. A shopper selects a sample of three apples from the bag. (a) How many different samples are possible? (b) How many samples
Determine the last three terms in the binomial expansion of (x - y)8.
In 2021, there were three women and six men on the United States Supreme Court. In how many ways could the justices be seated in a row for a group picture in which the three women sat next to each
ZIP (Zone Improvement Plan) codes, sequences of five digits, were introduced by the United States Post Office Department in 1963.How many ZIP codes are possible?
What percentage of the possible outcomes resulting from tossing a coin 100 times contain exactly 50 heads?
A restaurant offers any combination of three toppings on any of their sandwiches: peppers, onions, and mushrooms. How many different ways can you order a sandwich? List them.
Yana ordered a baked potato at a restaurant. The server offered her butter, cheese, chives, and bacon as toppings. How many different ways could she have her potato? List them.
Suppose there are three pitchers and three catchers at a baseball training camp.How many different pitcher–catcher pairs can be formed?
Skylar has five nonfiction and six fiction books on her reading list. When packing for her summer vacation, she decides to pack at least two nonfiction books and at least one fiction book. How many
Can (8) x³ y4 be a term of a binomial expansion?
Find a simple expression for the value of 10 (9)+(9)+(99)+(99)+(99) 3 10 10 2 10 4 10 5 10 10 10 10 + ( ² ) + ( ¹9 ) + ( ' ' ) + ( ¹9 ) 6 7 8
A blue van and a red van, each having nine passenger seats, have arrived to take ten people to the airport. In how many different ways can the passengers be assigned to the vans?
Find the optimal value for the linear programming problem.Minimize the objective function 3x + 4y subject to the constraints 2x + y 2 10 x + 2y ≥ 14 x ≥ 0, y 20
Find the optimal value for the linear programming problem.Maximize the objective function 7x + 4y subject to the constraints 3x + 2y < 36 x + 4y < 32 x ≥ 0, y 20
Find the optimal value for the linear programming problem.Maximize the objective function 2x + 5y subject to the constraints x + 2y ≤ 20 3x + 2y 2 24 x≤6 x ≥ 0, y ≥ 0
A dog owner decides to feed his pet Doberman pinscher a combination of two dog foods. Each can of brand A contains 3 units of protein, 1 unit of carbohydrates, and 2 units of fat and costs $2.30.
Graph the feasible set for the system of inequalities. 10 < x + 5y ≤ x + y ≤ 3 x ≥ 0, y ≥ 0 IV
Graph the feasible set for the system of inequalities. x + 2y ≥ 6 x + y 25 x ≥ 1
Mr. Tamm has $9000 to invest in three types of stocks: low-risk, medium-risk, and high-risk. He invests according to three principles. The amount invested in low-risk stocks will be at most $1000
Graph the feasible set for the system of inequalities. x+2y 22 3x - y 2 3
A U.S. coffee supplier has warehouses in Seattle and San José. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in Salt Lake City needs 400 pounds

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