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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Use the counting principle to determine the number of sample points in the sample space.One colored chip—red, blue, or green—is selected at random and a fair die is rolled.
One card is selected at random from a standard deck of 52 cards. Determine the probability that the card selected is a red card or a picture card.
Neither of the numbers is greater than 6.If two of the same nine sheets of paper mentioned above are selected, without replacement, from the hat, determine the probability that.
The first number is odd and the second number is even.If two of the same nine sheets of paper mentioned above are selected, without replacement, from the hat, determine the probability that.
Both numbers are less than 3.If two of the same nine sheets of paper mentioned above are selected, without replacement, from the hat, determine the probability that the number selected is.
Even or less than 4.Each of the numbers 1–9 is written on a sheet of paper and the nine sheets of paper are placed in a hat. If one sheet of paper is selected at random from the hat, determine the
Each of the numbers 1–9 is written on a sheet of paper and the nine sheets of paper are placed in a hat. If one sheet of paper is selected at random from the hat, determine the probability that the
Greater than 5.Each of the numbers 1–9 is written on a sheet of paper and the nine sheets of paper are placed in a hat. If one sheet of paper is selected at random from the hat, determine the
Of the last 25 people who purchased a doughnut at Dunkin’ Donuts, 11 purchased a glazed doughnut. Determine the empirical probability that the next person who purchases a doughnut at Dunkin’
During any semester at City College, 60% of the students are taking a mathematics course. Determine the probability that of five students selected at random,(a) None is taking a mathematics course
At Floyd’s Flower Shop, 1/5 of people ordering flowers select long-stemmed roses. Determine the probability that exactly 3 of the next 5 customers ordering flowers select long-stemmed roses.
In the community of Spring Hill, 60% of the homes purchased cost more than $160,000. (a) Write the binomial probability formula to determine the probability that exactly x of the next n homes
At least one Parenting magazine is selected.On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines. If Ramona randomly
No Parenting magazine is selected.On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines. If Ramona randomly selects three
Two Parenting magazines and one Sports Illustrated magazine are selected.On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated
On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines. If Ramona randomly selects three magazines, determine the
A bag contains five red chips, three white chips, and two blue chips. Three chips are to be selected at random, without replacement. Determine the probability that.At least one is red.
A bag contains five red chips, three white chips, and two blue chips. Three chips are to be selected at random, without replacement. Determine the probability that.The first is red, the second is
A bag contains five red chips, three white chips, and two blue chips. Three chips are to be selected at random, without replacement. Determine the probability that.The first two are red and the third
A bag contains five red chips, three white chips, and two blue chips. Three chips are to be selected at random, without replacement. Determine the probability that.All are red.
Two cards are selected at random, without replacement, from a standard deck of 52 cards. Determine the probability that two aces are selected (use combinations). (A
In a psychology research laboratory, one room contains eight men and another room contains five women. Three men and two women are to be selected at random to be given a psychological test. How many
A committee of 7 is to be formed from 10 parents and 12 teachers. If the committee is to consist of 2 parents and 5 teachers, how many different committees are possible?
To play the lottery game Mega Millions, you select 5 numbers, in any order, from 1 through 75 and 1 Mega Ball number from 1 through 15. If you match all 6 numbers, you win the jackpot!(a) What is the
Ten huskies are to be selected to pull a dogsled. How many different arrangements of the 10 huskies on a dogsled are possible?
Dr. Goldberg has three doses of vaccine for influenza type A. Six patients in the office require the vaccine. In how many different ways could Dr. Goldberg dispense the vaccine?
Three of nine astronauts must be selected for a mission. One will be the captain, one will be the navigator, and one will perform scientific experiments. Assuming each of the nine astronauts can
Mrs. Williams takes her 3 children shop-ping. Each of her children gets to select a different type of cereal that only that child will eat. At the store, there are only 10 boxes of cereal left and
Five finalists remain in a high school spelling bee. Two will receive $50 each, two will receive $100 each, and one will receive $500. How many different arrangements of prizes are possible?
Four contestants are on a television show. There are four different-colored rubber balls in a box, and each contestant gets to pick one from the box. Inside each ball is a slip of paper indicating
Assume that in a neuroscience course the students perform an experiment. Tests are given to determine if people are right brained, are left brained, or have no predominance. It is also recorded
Assume that in a neuroscience course the students perform an experiment. Tests are given to determine if people are right brained, are left brained, or have no predominance. It is also recorded
Assume that in a neuroscience course the students perform an experiment. Tests are given to determine if people are right brained, are left brained, or have no predominance. It is also recorded
Assume that in a neuroscience course the students perform an experiment. Tests are given to determine if people are right brained, are left brained, or have no predominance. It is also recorded
Use the results of a survey regarding the service at the Lake View Diner, which is summarized as follows.If one person who completed the survey is selected at random, determine the probability that
Use the results of a survey regarding the service at the Lake View Diner, which is summarized as follows.If one person who completed the survey is selected at random, determine the probability that
Use the results of a survey regarding the service at the Lake View Diner, which is summarized as follows.If one person who completed the survey is selected at random, determine the probability that
Use the results of a survey regarding the service at the Lake View Diner, which is summarized as follows.If one person who completed the survey is selected at random, determine the probability that
If the spinner is spun three times, determine the probability that at least one spin lands on red.Assume that the spinner cannot land on a line.If spun once, determine.
A person wins $10 if the spinner lands on green, wins $5 if the spinner lands on red, and loses $20 if the spinner lands on yellow. Find the expectation of a person who plays this game.Assume that
The odds in favor of and the odds against the spinner landing on green.Assume that the spinner cannot land on a line.If spun once, determine.
The probability that the spinner does not land on green.Assume that the spinner cannot land on a line.If spun once, determine.
Assume that Sonya is going to purchase three bottles of soft drinks at a store. The store has 12 different bottles of soft drinks, including 5 different bottles of cola, 4 different bottles of root
Assume that Sonya is going to purchase three bottles of soft drinks at a store. The store has 12 different bottles of soft drinks, including 5 different bottles of cola, 4 different bottles of root
Assume that Sonya is going to purchase three bottles of soft drinks at a store. The store has 12 different bottles of soft drinks, including 5 different bottles of cola, 4 different bottles of root
Assume that Sonya is going to purchase three bottles of soft drinks at a store. The store has 12 different bottles of soft drinks, including 5 different bottles of cola, 4 different bottles of root
The outer and inner wheels are spun.Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining.Gold on the outer wheel and a color other than
The outer and inner wheels are spun.Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining.An even number or a color other than green on
The outer and inner wheels are spun.Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining.An even number or a number less than 6 on the
The outer and inner wheels are spun.Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining.An odd number on the outer wheel and a number
The outer and inner wheels are spun.Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining.Numbers greater than 5 on both wheels. 3 2 4 3
The outer and inner wheels are spun.Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining.Even numbers on both wheels. 3 2 4 3 4 5
A coin is flipped and then a number from 1 through 4 is selected at random from a bag. (a) Construct a tree diagram showing all the possible outcomes.(b) List the sample space.(c) Determine the
Tina, Jake, Gina, and Carla form a club. They plan to select a president and a vice president. (a) Construct a tree diagram showing all the possible outcomes.(b) List the sample space.(c)
The expected value when you purchase a lottery ticket is -$1.50,and the cost of the lottery ticket is $5.00. Determine the fair price of the lottery ticket.
At a game of chance, the expected value is found to be -$2.50, and the cost to play the game is $6.50. Determine the fair price to play the game.
If the day is sunny, 1000 people will attend the baseball game. If the day is cloudy, only 500 people will attend. If it rains, only 100 people will attend. The local meteorologist states that the
If Cameron selects a picture card from a standard deck of 52 cards, Lindsey will give him $9. If Cameron does not select a picture card, he must give Lindsey $3.(a) Determine Cameron’s
One thousand raffle tickets are sold at $2 each. Three prizes of $200 and two prizes of $100 will be awarded. Assume that the probability that any given ticket is selected for a $200 prize is 3/1000
The probability that a new pizza restaurant will succeed at a given location is 0.75. Determine the odds in favor of the pizza restaurant succeeding.
The odds against Buttermilk winning the Triple Crown in horse racing are 82 : 3. Determine the probability that Buttermilk wins the Triple Crown.
Nicholas, a mischievous little boy, has removed labels on the eight cans of vegetables in the cabinet. Nicholas’s father knows that there are three cans of corn, three cans of beans, and two cans
According to the U.S. Centers for Disease Control and Prevention, 31% of adults in the United States have high blood pressure. If an adult was selected at random, determine the odds (a) Against
A taste test is given to 60 customers at a supermarket. The customers are asked to taste 4 types of cheese and to list their favorite. The results are summarized below.Network . . . . . . .
A taste test is given to 60 customers at a supermarket. The customers are asked to taste 4 types of cheese and to list their favorite. The results are summarized below.Network . . . . . . . . Number
A taste test is given to 60 customers at a supermarket. The customers are asked to taste 4 types of cheese and to list their favorite. The results are summarized below.Network . . . . . . . . Number
A taste test is given to 60 customers at a supermarket. The customers are asked to taste 4 types of cheese and to list their favorite. The results are summarized below.Network . . . . . . . . Number
Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is written on a piece of paper and all the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the
Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is written on a piece of paper and all the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the
Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is written on a piece of paper and all the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the
Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is written on a piece of paper and all the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the
Of 45 people who purchase a phone at an electronics store, 40 purchased a smartphone. Determine the empirical probability that the next person who purchases a phone from that store purchases a
Explain how empirical probability can be used to determine whether a die is “loaded” (not a fair die).
In your own words, explain the law of large numbers.
The island of Aruba is well known for its beaches and predictable warm, sunny weather. In fact, Aruba’s weather is so predictable that the daily newspapers don’t even bother to print a forecast.
The probability that a person visiting Dr. Suarez’s office is more than 60 years old is 0.7. Determine the probability that(a) Exactly three of the next five people visiting the office are more
Six cards are selected from a standard deck of playing cards with replacement. Determine the probability that(a) Exactly three picture cards are obtained.(b) Exactly two spades are obtained.Round
The following table indicates the mode of transportation to work for a random sample of 80 working mothers in Duluth, Minnesota.Model of Transportation . . . . . . . . . . . . . Number of MothersCar
Edward has to take a five-question multiple-choice quiz in his sociology class. Each question has four choices for answers, of which only one is correct. Assuming that Edward guesses on all five
At a Al’s Appliances, 1/4 of those purchasing appliances purchase a dishwasher. Determine the probability that(a) None of the next four people who purchase an appliance at Al’s Appliances
The probability that a specific brand of water heater produces the water temperature it is set to produce is 4/5. Determine the probability that if five of these water heaters are selected at random,
A quality control engineer at a GE lightbulb plant finds that 1% of its bulbs are defective. Determine the probability that exactly two of the next six bulbs made are defective.Use the binomial
When treated with the antibiotic resonocyllin, 92% of all dolphins are cured of a particular bacterial infection. If six dolphins with the particular bacterial infection are treated with
Records from a specific bank show that 70% of car loan applications are approved. If eight car loan applications from this bank are selected at random, deter-mine the probability that exactly five of
According to a survey conducted by Progressive Insurance, 53% of adults stated they are distracted by their smartphone while driving. If 10 adult drivers are selected at random, determine the
Thomas works as a waiter at Outback Steakhouse. He has learned from experience that 80% of customers who dine alone leave a tip. If Thomas waits on 6 customers dining alone, determine the probability
An insurance company reported that 60% of all automobile damage claims were made by people under the age of 25. If eight automobile damage claims were selected at random, determine the probability
According to a survey conducted by Gerber, 37% of babies have a social media account before their first birthday. (a) Write the binomial formula to determine the probability that exactly x out
An egg distributor determines that the probability that any individual egg has a crack is 0.14. (a) Write the binomial probability formula to determine the probability that exactly x eggs of n
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).n = 5, x = 3,
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).n = 6, x = 0,
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).n = 3, x = 3,
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).n = 5, x = 2,
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).n = 3, x = 2,
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).n = 6, x = 3,
Fill in the blank with an appropriate word, phrase, or symbol(s).In the binomial probability formula, q represents the probability of _________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).In the binomial probability formula, p represents the probability of _________.
Fill in the blank with an appropriate word, phrase, or symbol(s).Each trial in a binomial experiment has two possible outcomes, success and __________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).In a binomial experiment, there are n repeated, independent ________________ .
The city of St. Louis wishes to repay a debt of $25,000,000 in 50 years. How much should the city invest semiannually in a sinking fund paying a 7.5% interest rate compounded semiannually to

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