This quiz works best with JavaScript enabled. Home > English Grammar > Grammar > Advanced > Probability Models – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Probability Models Quiz 4 (30 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is a compound event? A) A single outcome from a trial. B) A lucky guess. C) An experiment with one possible result. D) Two or more outcomes happening together. Show Answer Correct Answer: D) Two or more outcomes happening together. 2. When rolling a single die, the events of rolling an even number and rolling a '5' are mutually exclusive. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 3. What happens to the shape of a sampling distribution of sample means as n increases? A) It becomes narrower and bimodal. B) It becomes narrower and more normal. C) It becomes wider and skewed right. D) It becomes wider and more normal. Show Answer Correct Answer: B) It becomes narrower and more normal. 4. A basketball player makes a free throw 60% of the time. She takes 5 shots. What is the probability she makes exactly 3 shots? Use the Desmos Binomial Probability Calculator. A) 0.23. B) 0.60. C) 0.35. D) 0.78. Show Answer Correct Answer: C) 0.35. 5. Find the probability of achieving success with the event:Flipping a coin and getting heads three times in a row. A) 1/16. B) 1/8. C) 1/2. D) 1/4. Show Answer Correct Answer: B) 1/8. 6. What is the probability of an event that is certain to happen? A) 0 (zero probability). B) 0.5 (fifty percent probability). C) 1 (one or 100% probability). D) 0.75 (seventy-five percent probability). Show Answer Correct Answer: C) 1 (one or 100% probability). 7. Can you provide an example of an application of uniform probability in real life? A) Rolling a fair six-sided die. B) Flipping a biased coin. C) Predicting the weather with a broken thermometer. D) Drawing a card from a deck with missing cards. Show Answer Correct Answer: A) Rolling a fair six-sided die. 8. A fair roulette wheel has six equal sections numbered from 1 to 6. Event C is getting a 1 and then an even number on a second spin. What is the probability of event C? HINT:This is a compound event. A) 1/8. B) 1/6. C) 1/12. D) 1/2. Show Answer Correct Answer: C) 1/12. 9. What are the numbers in a set called? A) Options. B) Elements. C) Parts. D) None of the above. Show Answer Correct Answer: B) Elements. 10. A group of students working together on a project want to randomly choose who has to complete each of the 15 activities for the project. If there are 6 students in the group, describe a model that they could use to simulate choosing who should complete each activity. A) Flipping a coin 15 times. B) Rolling a number cube 15 times. C) Spinning a spinner with 15 sections 6 times. D) Drawing 6 marbles from a bag containing 15 black marbles. Show Answer Correct Answer: B) Rolling a number cube 15 times. 11. If you pick a card from a deck, do not replace it, and pick another, what is the probability that both are aces? A) $\frac{1}{169}$. B) $\frac{1}{52}$. C) $\frac{1}{221}$. D) $\frac{1}{663}$. Show Answer Correct Answer: C) $\frac{1}{221}$. 12. When a marble is drawn from a bag, there are 10 possible outcomes. The sample space, S = (W, W, W, W, S, S, S, S, B, B), where W represents a white marble, S represents a striped marble, and B represents a black marble.What is the probability of P(B)? (as a fraction) A) 2/5. B) 1/5. C) 1/4. D) 1/10. Show Answer Correct Answer: B) 1/5. 13. It is estimated that 18% of the dolphin population has a certain condition. This means that ..... of the dolphin population does not have this condition. A) 78%. B) 82%. C) 92%. D) 18%. Show Answer Correct Answer: B) 82%. 14. Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 10 times. Let X = the number of aces you observe. A) Yes. B) No, the trials are not independent. C) No, there are more than 2 outcomes. D) None of the above. Show Answer Correct Answer: A) Yes. 15. Probability can be written as ..... A) A fraction. B) A decimal. C) A percentage. D) All of the above. Show Answer Correct Answer: D) All of the above. 16. A blood bank knows that only about 10% of its regular donors have type B blood. What is the probability that you will find more than 13 people with type B blood? A) 0.25. B) 0.28. C) 0.03. D) None of the above. Show Answer Correct Answer: A) 0.25. 17. If a data set is normally distributed, which statement must be true? A) Mean = mode. B) Mean = median. C) Median = mode. D) None of these are true. Show Answer Correct Answer: B) Mean = median. 18. In compound probability, if one event affects another event we call it- A) Dependent probability. B) Experimental probability. C) Independent probability. D) Simple probability. Show Answer Correct Answer: A) Dependent probability. 19. Martha, a sales representative, has a 70% chance of closing a deal with each client. She meets with 4 clients. What is the probability Martha will close all 4 deals? Use the Desmos Binomial Probability Calculator. A) 0.76. B) 0.24. C) 0.80. D) 0.20. Show Answer Correct Answer: B) 0.24. 20. Decide whether a binomial model applies and explain why or why not. Counting the number of Democrats, Republicans, and Independents in the school faculty A) Yes, a binomial model applies. B) No, there are more than two outcomes. C) All the above. D) None of the above. Show Answer Correct Answer: B) No, there are more than two outcomes. 21. A marksman has 80% accuracy hitting targets at 1, 000 yards. What is the probability that she won't hit the target until her third shot? A) 0.032. B) 0.1369. C) 0.7373. D) 0.4096. Show Answer Correct Answer: A) 0.032. 22. A bag contains ping-pong balls that are numbered from 1 to 75. Peyton randomly selects a ping-pong ball from the bag, records the number that is on it, and puts it back in the bag. The results of the first 6 trials are:13, 70, 17, 62, 38, and 64. Based on the results, how many times is Peyton expected to select an odd-numbered ping-pong ball in the next 30 trials. A) 2/6. B) 10. C) 20. D) 1/3. Show Answer Correct Answer: B) 10. 23. The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. What is the mean of the sampling distribution of p-hat? A) 0.56. B) 0.6. C) 0.44. D) 0.4. Show Answer Correct Answer: D) 0.4. 24. Find the probability of achieving success with the event:Pulling out a red marble from a bag containing 3 blue, 2 red, and 5 white marbles. A) 0.4. B) 0.3. C) 0.1. D) 0.2. Show Answer Correct Answer: D) 0.2. 25. Which of the following is NOT an assumption of the Binomial distribution? A) All trials must be independent. B) Each trial must be classified as a success or a failure. C) All trials are dependent on each other. D) The number of successes in the trials is counted. Show Answer Correct Answer: C) All trials are dependent on each other. 26. A student group sells 500 raffle tickets for $ 2 each. At the drawing the top prize will be a gift certificate for $ 100. Second prize will be a $ 50 gift card and there will be five 3rd prizes, each a $ 20 gift card. Do you expect to win or lose (on average)? How much? HINT:set up a probability model. A) Lose an average of $ 1.50. B) Lose an average of $ 5.50. C) Win an average of $ 2.00. D) Lose an average of $ 10.00. Show Answer Correct Answer: A) Lose an average of $ 1.50. 27. A computer chip company rejects 2% of the chips produced because they fail presale testing. What is the probability that the fifth chip you test is the first bad one you find? A) 0.08. B) 0.02. C) 0.00. D) None of the above. Show Answer Correct Answer: B) 0.02. 28. A probability model when all the probabilities are equally likely to occur A) Non-uniform probability model. B) Uniform probability model. C) Probability model. D) Tree diagram. Show Answer Correct Answer: B) Uniform probability model. 29. What is the value of 5! A) 25. B) 720. C) 120. D) 15. Show Answer Correct Answer: C) 120. 30. How many distinct permutations can be made from the word INDEPENDENCE? A) 1763200 permutations. B) 1663200 permutations. C) 1664200 permutations. D) 1863200 permutations. Show Answer Correct Answer: B) 1663200 permutations. ← PreviousNext →Related QuizzesGrammar QuizzesEnglish Grammar QuizzesProbability Models Quiz 1Probability Models Quiz 2Probability Models Quiz 3Probability Models Quiz 5Probability Models Quiz 6Probability Models Quiz 7Probability Models Quiz 8Case Marking Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books