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Probability and Statistics

Math · Problem-Solving and Data Analysis · 36 questions · every one comes with a full explanation.

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  1. 1Number of Contestants by Score and Day 5 out of 54 out of 53 out of 52 out of 51 out of 50 out of 5TotalDay 123462320Day 223554120Day 333453220Total7913169660The same 20 contHard · Problem-Solving and Data Analysis
  2. 2Each face of a fair 14 -sided die is labeled with a number from 1 through 14 , with a different number appearing on each face. If the die is rolled one time, what is the probabiliEasy · Problem-Solving and Data Analysis
  3. 3The table above shows information about 14 cars listed for sale on an auto dealership's website. If one of the cars listed for sale is selected at random, what is the probability tMedium · Problem-Solving and Data Analysis
  4. 4The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?Easy · Problem-Solving and Data Analysis
  5. 5Customer Purchases at a Gas Station Beverage purchased Beverage not purchased Total Gasoline purchased 60 25 85 Gasoline not purchased 35 15 50 Total 90 40 135 OnEasy · Problem-Solving and Data Analysis
  6. 6The data on the coat color and eye color for 48 Himalayan kittens available for adoption were collected and summarized in the table above. What fraction of the chocolate-colored kiMedium · Problem-Solving and Data Analysis
  7. 7The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Of the studenEasy · Problem-Solving and Data Analysis
  8. 8A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what Easy · Problem-Solving and Data Analysis
  9. 9How many of the males surveyed responded that they do not play a school sport?Easy · Problem-Solving and Data Analysis
  10. 10Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence or absence of the rhesus factor. The table above shows the distHard · Problem-Solving and Data Analysis
  11. 11If one of these state parks is selected at random, what is the probability that it has camping facilities but does not have bicycle paths?Medium · Problem-Solving and Data Analysis
  12. 12In a bag, there are 7 red, 4 white, 33 blue, and 33 yellow cubes. If one of these cubes is selected at random, what is the probability of selecting a cube that is neither blue Medium · Problem-Solving and Data Analysis
  13. 13The table gives the distribution of votes for a new school mascot and grade level for 80 students. Mascot Grade level Sixth Seventh Eighth Total Badger 4 9 9 22 Lion 9 2 Easy · Problem-Solving and Data Analysis
  14. 14Each rock in a collection of 70 rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table. Classification Frequency igneous 10 metamoEasy · Problem-Solving and Data Analysis
  15. 15Of the 8 planets in our solar system, 4 are considered rocky. If a student randomly selects 1 of those 8 planets as a topic for a report, what is the probability that the selected Easy · Problem-Solving and Data Analysis
  16. 16Each vertex of a 14 -sided polygon is labeled with one of the 14 letters A through N , with a different letter at each vertex. If one vertex is selected at random, what is the prMedium · Problem-Solving and Data Analysis
  17. 17In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the tableEasy · Problem-Solving and Data Analysis
  18. 18A band with 45 members has 11 members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?Easy · Problem-Solving and Data Analysis
  19. 19PhoneEmailDinner dance55%80%Football game20%10%Picnic20%5%Pool party5%5%Total100%100% An alumni association survey asked each high school graduate to select the one activity he or Hard · Problem-Solving and Data Analysis
  20. 20On May 10, 2015, there were 83 million Internet subscribers in Nigeria. The major Internet providers were MTN, Globacom, Airtel, Etisalat, and Visafone. By September 30, 2015, the Hard · Problem-Solving and Data Analysis
  21. 21A store received a shipment of 1,000 MP3 players, 4 of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?Easy · Problem-Solving and Data Analysis
  22. 22If one of the days on which there was no rain is selected at random, what is the probability the day was a weekend day?Medium · Problem-Solving and Data Analysis
  23. 23The table summarizes the distribution of age and assigned group for 90 participants in a study. 0 –9 years 10 –19 years 20+ years Total Group A 7 14 9 30 Group B 6 4 2Hard · Problem-Solving and Data Analysis
  24. 24At a conference, there are a total of 275 attendees. Each attendee is assigned to either group A, group B, or group C. If one of these attendees is selected at random, the probabiMedium · Problem-Solving and Data Analysis
  25. 25There are n nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms of nEasy · Problem-Solving and Data Analysis
  26. 26If 1,200 customers register for new accounts at a social media website every day, what fraction of the first 60,000 new accounts are registered in the first 5 days?Medium · Problem-Solving and Data Analysis
  27. 27The table above gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed. Of those presidents who wMedium · Problem-Solving and Data Analysis
  28. 28To the nearest tenth of a percent, what percent of states with a state-level sales tax do not have a state-level income tax?Hard · Problem-Solving and Data Analysis
  29. 29For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probabilEasy · Problem-Solving and Data Analysis
  30. 30A bag contains a total of 60 marbles. A marble is to be chosen at random from the bag. If the probability that a blue marble will be chosen is 0.35, how many marbles in the bag areEasy · Problem-Solving and Data Analysis
  31. 31The number of penguins in a zoo exhibit, sorted by gender and type of penguin, is shown in the table above. Which type of penguin has a female population that is the closest to beiMedium · Problem-Solving and Data Analysis
  32. 32There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting a whEasy · Problem-Solving and Data Analysis
  33. 33A box contains 13 red pens and 37 blue pens. If one of these pens is selected at random, what is the probability of selecting a red pen? (Express your answer as a decimal or fracMedium · Problem-Solving and Data Analysis
  34. 34The table above shows the number of people who work in the Human Resources and Accounting departments of a company and the highest level of education they have completed. A person Medium · Problem-Solving and Data Analysis
  35. 35If a caller last Monday who asked about his or her bill is selected at random, which of the following is closest to the probability that the customer also asked for repairs?Hard · Problem-Solving and Data Analysis
  36. 36The table summarizes the distribution of color and shape for 100 tiles of equal area. Red Blue Yellow Total Square 10 20 25 55 Pentagon 20 10 15 45 Total 30 30 40 1Medium · Problem-Solving and Data Analysis