This quiz works best with JavaScript enabled. Home > English Grammar > Grammar > Advanced > Probability Models – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Probability Models Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following is NOT a requirement of a discrete probability distribution? A) The sum of the values for the random variable x must add up to 1. B) There is a discrete numerical (not categorical) random variable x, and its number values are associated with corresponding probabilities. C) The sum of the probabilities must all add up to 1. D) Every individual probability must have a value between 0 and 1 inclusively. Show Answer Correct Answer: A) The sum of the values for the random variable x must add up to 1. 2. How many ways can a club select a president, vice president, and a secretary from a group of 5 people? A) 60. B) 30. C) 15. D) 12. Show Answer Correct Answer: A) 60. 3. If you choose from the following M & M colors, what is the probability that you choose blue?5 green6 yellow8 blue7 brown A) 1/3. B) 1/4. C) 4/13. D) 8/25. Show Answer Correct Answer: C) 4/13. 4. Darcie is making a wood shelf for displaying her plate collection. She will choose from 4 types of wood, 8 stain colors, and 2 shelf widths. How many possible outcomes of 1 type of wood, 1 stain color, and 1 shelf width are possible? A) 64. B) 192. C) 42. D) 14. Show Answer Correct Answer: A) 64. 5. What does the p stand for in the binomial probability formula? A) Number of Successes. B) Probability of Successes. C) Probability of Failures. D) Number of trials. Show Answer Correct Answer: B) Probability of Successes. 6. Find the probability of achieving success with the event:Rolling an even number on a standard six-sided die. A) 1/3. B) 2/3. C) 1/6. D) 1/2. Show Answer Correct Answer: D) 1/2. 7. What is the probability that a family doesn't have a baby girl until their third child? A) 0.05. B) 0.125. C) 0.88. D) 0.15. Show Answer Correct Answer: B) 0.125. 8. How many total outcomes are there when rolling two six-sided dice? A) 6. B) 36. C) 24. D) 12. Show Answer Correct Answer: B) 36. 9. If you draw a marble from a bag, do not replace it, and draw another, are the two events independent? A) True. B) FalseTagsCCSS.HSS.IC.A.2. C) All the above. D) None of the above. Show Answer Correct Answer: B) FalseTagsCCSS.HSS.IC.A.2. 10. A list of all possible outcomes A) Probability. B) Experimental probability. C) Sample space. D) Odds. Show Answer Correct Answer: C) Sample space. 11. Imagine you have a bag with numbers from 1 to 5, and each number is equally likely to be picked. What's the chance of picking the number 3? A) 0.3. B) 0.2. C) 0.5. D) 0.4. Show Answer Correct Answer: B) 0.2. 12. What is a Complement in probability? A) Probability of an event happening. B) Probability of an event NOT happening. C) Not here. D) Saying You look very nice today. Show Answer Correct Answer: B) Probability of an event NOT happening. 13. Eva flips a coin. If she gets heads, she wins $ 4. If she gets tails, she loses $ 3. What is her expected value of a coin flip? A) $ 1. B) $ 0. C) -$ 0.50. D) $ 0.50. Show Answer Correct Answer: D) $ 0.50. 14. 28% of all MPHS students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day? A) 0.624. B) 0.376. C) 0.99999. D) Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal. Show Answer Correct Answer: B) 0.376. 15. Why might a probability model based on observed data be non-uniform? A) It's random every time. B) It doesn't use real data. C) All outcomes are equally likely. D) Some outcomes occur more frequently than others. Show Answer Correct Answer: D) Some outcomes occur more frequently than others. 16. In compound probability, if one event does not affect the other event or events, it is referred to as- A) Independent probability. B) Experimental probability. C) Dependent probability. D) Theoretical probability. Show Answer Correct Answer: A) Independent probability. 17. In a class of 30 students, 18 are girls and 12 are boys. If a student is selected at random, what is the probability that the student is a girl? A) $\frac{3}{5}$. B) $\frac{4}{5}$. C) $\frac{2}{5}$. D) $\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{3}{5}$. 18. A geometric probability model follows a Bernoulli trial and: A) Has a set sample size n. B) Is looking for first success. C) All the above. D) None of the above. Show Answer Correct Answer: B) Is looking for first success. 19. A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:X 0 1 2 3 4 5 P(X) 0.24 0.37 0.20 0.11 0.05 0.03What is the probability that a randomly chosen household has at least two cars? A) 0.29. B) 0.39. C) 0.61. D) 0.20. Show Answer Correct Answer: B) 0.39. 20. 1 out of 8 frogs has a certain genetic trait. A scientist collects a dozen frogs and wants to know the probability that 3 or 4 will have the trait. A) 18%. B) 17%. C) 13%. D) None of the above. Show Answer Correct Answer: B) 17%. 21. In a certain town, 90% of the people drive without ever looking at their phones.In a group of 200 randomly selected citizens, what is the number of people expected to be driving without looking at their phone? A) 90. B) 110. C) 20. D) 180. Show Answer Correct Answer: D) 180. 22. If I flip a coin 10 times, how many times should I get heads? A) 5. B) 3. C) 1. D) 10. Show Answer Correct Answer: A) 5. 23. The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than "A" ? A) 10/49. B) 5/7. C) 5/49. D) 2/7. Show Answer Correct Answer: B) 5/7. 24. A customer's daily lunch spending (in dollars) over 10 days is shown:{45, 47, 48, 49, 50, 50, 50, 51, 55, 55} The mean daily spending is 50.The standard deviation is 3. How many data values fall within one standard deviation of the mean? A) $7$. B) 7 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $7$. 25. Probability can be between what two numbers? A) 10 and 20. B) 0 and 100. C) 0 and 1. D) All Numbers are possible. Show Answer Correct Answer: C) 0 and 1. 26. A spinner is an example of a simulation tool. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 27. A marksman has 80% accuracy hitting targets at 1, 000 yards. What is the probability that he will make at least 4 of his next 5 shots? A) 0.032. B) 0.4096. C) 0.1369. D) 0.7373. Show Answer Correct Answer: D) 0.7373. 28. Why is it important to have equal chances in making decisions? A) Having equal chances in making decisions helps everyone be treated fairly and stops unfair preferences. B) Equal chances in making decisions are not important. C) Having equal chances actually makes decisions more unfair. D) Equal chances in making decisions only help some people, not everyone. Show Answer Correct Answer: A) Having equal chances in making decisions helps everyone be treated fairly and stops unfair preferences. 29. 1 out of every 8 frogs has a certain genetic trait. A scientist collects a dozen frogs. What is the probability that at least 2 frogs have the trait? A) 45%. B) 82%. C) 100%. D) None of the above. Show Answer Correct Answer: A) 45%. 30. What is a compound event? A) A single outcome from a trial. B) Two or more outcomes happening together. C) An experiment with one possible result. D) A lucky guess. Show Answer Correct Answer: B) Two or more outcomes happening together. 31. 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. 32. 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. 33. 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) 0.35. B) 0.23. C) 0.78. D) 0.60. Show Answer Correct Answer: A) 0.35. 34. Find the probability of achieving success with the event:Flipping a coin and getting heads three times in a row. A) 1/8. B) 1/2. C) 1/4. D) 1/16. Show Answer Correct Answer: A) 1/8. 35. What is the probability of an event that is certain to happen? A) 0.5 (fifty percent probability). B) 0.75 (seventy-five percent probability). C) 0 (zero probability). D) 1 (one or 100% probability). Show Answer Correct Answer: D) 1 (one or 100% probability). 36. Can you provide an example of an application of uniform probability in real life? A) Rolling a fair six-sided die. B) Predicting the weather with a broken thermometer. C) Drawing a card from a deck with missing cards. D) Flipping a biased coin. Show Answer Correct Answer: A) Rolling a fair six-sided die. 37. 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) 1/2. B) 1/8. C) 1/6. D) 1/12. Show Answer Correct Answer: D) 1/12. 38. 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. 39. 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) Spinning a spinner with 15 sections 6 times. B) Drawing 6 marbles from a bag containing 15 black marbles. C) Flipping a coin 15 times. D) Rolling a number cube 15 times. Show Answer Correct Answer: D) Rolling a number cube 15 times. 40. If you pick a card from a deck, do not replace it, and pick another, what is the probability that both are aces? A) $\frac{1}{52}$. B) $\frac{1}{663}$. C) $\frac{1}{169}$. D) $\frac{1}{221}$. Show Answer Correct Answer: D) $\frac{1}{221}$. 41. 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) 18%. D) 92%. Show Answer Correct Answer: B) 82%. 42. 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. 43. 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. 44. 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. 45. 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. 46. In compound probability, if one event affects another event we call it- A) Experimental probability. B) Independent probability. C) Simple probability. D) Dependent probability. Show Answer Correct Answer: D) Dependent probability. 47. 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) 0.80. B) 0.76. C) 0.20. D) 0.24. Show Answer Correct Answer: D) 0.24. 48. 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. 49. 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) 0.4096. B) 0.1369. C) 0.032. D) 0.7373. Show Answer Correct Answer: C) 0.032. 50. 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) 20. B) 1/3. C) 2/6. D) 10. Show Answer Correct Answer: D) 10. 51. 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) 0.44. B) 0.56. C) 0.4. D) 0.6. Show Answer Correct Answer: C) 0.4. 52. 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) 0.3. B) 0.4. C) 0.2. D) 0.1. Show Answer Correct Answer: C) 0.2. 53. 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. 54. 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) Win an average of $ 2.00. B) Lose an average of $ 5.50. C) Lose an average of $ 1.50. D) Lose an average of $ 10.00. Show Answer Correct Answer: C) Lose an average of $ 1.50. 55. 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. 56. A probability model when all the probabilities are equally likely to occur A) Non-uniform probability model. B) Tree diagram. C) Uniform probability model. D) Probability model. Show Answer Correct Answer: C) Uniform probability model. 57. What is the value of 5! A) 120. B) 25. C) 720. D) 15. Show Answer Correct Answer: A) 120. 58. How many distinct permutations can be made from the word INDEPENDENCE? A) 1664200 permutations. B) 1663200 permutations. C) 1763200 permutations. D) 1863200 permutations. Show Answer Correct Answer: B) 1663200 permutations. 59. There are four groups left to present their final projects. The groups are listed alphabetically from Group A to Group D. The teacher will choose one group at random to present their project. List all the outcomes in this sample space for this action. A) Group A, Group B, Group C, Group D. B) Student A, Student B, Student C, Student D. C) Student A and Student D. D) Group A and Group D. Show Answer Correct Answer: A) Group A, Group B, Group C, Group D. 60. How would you describe the probability of something that has a probability of 1? A) Unlikely. B) Likely. C) Impossible. D) Certain. Show Answer Correct Answer: D) Certain. ← PreviousNext →Related QuizzesGrammar QuizzesEnglish Grammar QuizzesProbability Models Quiz 1Probability Models Quiz 3Probability Models Quiz 4Case Marking QuizCase System QuizFunctional Grammar QuizIdeational Metafunction QuizInterpersonal Metafunction Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books