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Math
Finite Mathematics & Its Applications (12th Edition)
Chapter 6.4, Problem 70E
Chapter 6.4, Problem 70E
BUY
Finite Mathematics & Its Applications (12th Edition)
12th Edition
ISBN:
9780134437767
Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
Publisher:
PEARSON
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1 Linear Equations And Straight Lines
2 Matrices
3 Linear Programming, A Geometric Approach
4 The Simplex Method
5 Sets And Counting
6 Probability
7 Probability And Statistics
8 Markov Processes
9 The Theory Of Games
10 The Mathematics Of Finance
11 Logic
12 Difference Equations And Mathematical Models
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6.1 Experiments, Outcomes, Sample Spaces, And Events
6.2 Assignment Of Probabilities
6.3 Calculating Probabilities Of Events
6.4 Conditional Probability And Independence
6.5 Tree Diagrams
6.6 Bayes’ Theorem, Natural Frequencies
6.7 Simulation
Chapter Questions
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Problem 1CYU: 1. Cards Suppose that there are three cards: one red on both sides; one white on both sides; and one...
Problem 2CYU: Show that if events E and F are independent of each other, then so are E and F'. [Hint: Since...
Problem 1E: 1. The Venn diagram in Fig. 3 shows the probabilities for its four basic regions. Find Figure...
Problem 2E: 2. The Venn diagram in Fig. 4 shows the probabilities for its four basic regions. Find Figure...
Problem 3E: Let S be a sample space and E and F be events associated with S. Suppose that...
Problem 4E: Let S be a sample space and E and F be events associated with S. Suppose that...
Problem 5E: Let S be a sample space and E and F be events associated with S. Suppose that...
Problem 6E: 6. Let S be a sample space and E and F be events associated with S. Suppose that ....
Problem 7E: Let S be a sample space and E and F be events associated with. Suppose that...
Problem 8E: Let S be a sample space and E and F be events associated with S. Suppose that...
Problem 9E: Dice When a pair of dice is rolled, what is the probability that the sum of the dice is 8, given...
Problem 10E: 10. Dice When a pair of dice is rolled, what is the probability that the sum of the dice is 5, given...
Problem 11E: Coins A coin is tossed three times. What is the probability that the outcome is three heads, given...
Problem 12E: Coins A coin is tossed three times. What is the probability that the outcome contains no heads,...
Problem 13E: Bag of Marbles A bag contains five red marbles and seven white marbles. If a sample of four marbles...
Problem 14E: Balls in an Urn Two balls are selected at random from an urn containing two white balls and three...
Problem 15E: 15. Children Suppose a family has two children and the youngest is a girl. What is the probability...
Problem 16E: Children Suppose a family has two children and at least one is a girl. What is the probability that...
Problem 17E: 17. Value of College Twenty-five percent of individuals in a certain city earn more than $45,000 per...
Problem 18E: Advanced Degrees Sixty percent of the teachers at a certain high school are female. Forty percent of...
Problem 19E: Advanced Degrees Table 1 shows the projected number of advanced degrees (in thousands) earned in the...
Problem 20E: 20. Voting Table 2 shows the number of registered voting-age U.S. citizens (in millions) by gender...
Problem 21E: Military Personnel Table 3 shows the numbers (in thousands) of officers and enlisted persons on...
Problem 22E: 22. College Majors Table 4 shows the probable field of study for 1500 freshman males and 1000...
Problem 23E: 23. Bills in Envelopes Each of three sealed opaque envelopes contains two bills. One envelope...
Problem 24E: 24. Gold and Silver Coins Consider three boxes. One box contains two gold coins, one box contains...
Problem 25E: 25. Cards A sequence of two playing cards is drawn at random (without replacement) from a standard...
Problem 26E: Cards A sequence of two playing cards is drawn at random (without replacement) from a standard deck...
Problem 27E: Coin Tosses A coin is tossed five times. What is the probability that heads appears on every toss,...
Problem 28E: Coin Tosses A coin is tossed twice. What is the probability that heads appeared on the first toss,...
Problem 29E: 29. Exit Polling According to exit polling for the 2016 Missouri Republican primary election, 48% of...
Problem 30E: Population Twenty percent of the worlds population live in China. The residents of Shanghai...
Problem 31E: 31. Basketball Suppose that your team is behind by two points and you have the ball on your...
Problem 32E: 32. Password Fred remembers all but the last character of the password for his e-mail account....
Problem 33E: Let E and F be events with P(E)=.4,Pr(F)=.5, and Pr(EF)=.7. Are E and F independent events?
Problem 34E: 34. Let E and F be events with , and. Are E and F independent events?
Problem 35E: 35. Let E and F be independent events with . Find .
Problem 36E: 36. Let E and F be independent events with and . Find .
Problem 37E: In Exercises 3740, assume that E and F are independent events. Use the given information to find...
Problem 38E: In Exercises 3740, assume that E and F are independent events. Use the given information to find...
Problem 39E: In Exercises 37–40, assume that E and F are independent events. Use the given information to find...
Problem 40E: In Exercises 3740, assume that E and F are independent events. Use the given information to find...
Problem 41E: Let A, B, and C be independent events with Pr(A)=.4,Pr(B)=.1,andPr(C)=.2. Calculate Pr[(ABC)].
Problem 42E: 42. Let A, B, and C be independent events with , and . .
Problem 43E: 43. Balls in an Urn A sample of two balls is drawn from an urn containing two white balls and three...
Problem 44E: Balls in an Urn An urn contains two white balls and three red balls. A ball is withdrawn at random...
Problem 45E: 45. Roll a Die Roll a die, and consider the following two events: . Are the events E and F...
Problem 46E: Roll a Die Roll a die, and consider the following two events: E={2,4,6},F={3,4,6}. Are the events E...
Problem 47E: Rolling Dice Roll a pair of dice, and consider the sum of the two numbers. Are the events the sum is...
Problem 48E: Rolling Dice Roll a pair of dice, and consider the sum of the two numbers. Are the events the sum is...
Problem 49E: 49. Epidemiology A doctor studies the known cancer patients in a certain town. The probability that...
Problem 50E: 50. Blood Tests A hospital uses two tests to classify blood. Every blood sample is subjected to both...
Problem 51E: Medical Screening A medical screening program administers three independent tests. Of the persons...
Problem 52E: Guessing on an Exam A truefalse exam has 10 questions. Assuming that the questions are independent...
Problem 53E: 53. System Reliability A TV set contains five circuit boards of type A, five of type B, and three of...
Problem 54E: System Reliability In November 2015, Intel announced the release of a business desktop computer with...
Problem 55E: 55. Smartphones Suppose that in Sleepy Valley, 70% of those over 50 years old own smartphones. Find...
Problem 56E: 56. Fishing The probability that a fisherman catches a tuna in any one excursion is .15. What is the...
Problem 57E: Baseball A baseball players batting average changes every time he goes to bat and therefore should...
Problem 58E: Roulette If you bet on the number 7 in roulette, the probability of winning on a single spin of the...
Problem 59E: Free-Throws A basketball player makes each free-throw with a probability of .6 and is on the line...
Problem 60E: 60. Free-Throws Rework Exercise 59 with a probability of .7.
Problem 61E: Free-Throws Consider Exercise 59, but let the probability of success be p, where 0p1. Explain why...
Problem 62E: Free-Throws Consider Exercise 59, but let the probability of success be p, where 0p1. For what value...
Problem 63E
Problem 64E: 64. Coin Toss A coin is tossed five times. Is the outcome HTHHT more likely to occur than the...
Problem 65E
Problem 66E
Problem 67E
Problem 68E: 68. Use the inclusion–exclusion principle for (nonconditional) probabilities to show that, if E, F,...
Problem 69E
Problem 70E
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