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Probability Models Quiz 3 (60 MCQs)

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1. What is the probability of flipping a fair coin and getting heads
2. A bag contains 3 red balls, 2 blue balls, and 5 green balls. If a ball is drawn at random, what is the probability that it is red?
3. If the probability that a house in your neighborhood has a dog is 60%, what is the chance that you find a house with a dog before the fifth house?
4. Which of the following is an example of a non-uniform probability model?
5. You roll two die.What is the probability you will roll a 4, then roll a number less than 3?
6. A test has 5 multiple-choice questions and each question has 2 possible answers (A or B). Which simulation would you use?
7. A model says a die is fair. You roll it 60 times and get the number 3 a total of 20 times. Is this result consistent with the model?
8. Permutation, combination, or neither?The batting order for seven players on a 12 person team.
9. Of the 12 frozen chickens, how many would you expect to contain enough salmonella bacteria to cause illness if improperly cooked? What is the standard deviation?
10. Find the probability of achieving success with the event:Drawing a spade from a deck of cards.
11. In a certain town, 75% of all drivers are insured. What is the expected number of insured drivers present in a group of 200 randomly selected townspeople?
12. If a spinner has 10 equal sections and the number 3 is in one of them, what is the theoretical probability of spinning a 3?
13. The cafeteria is serving three kinds of sandwiches:tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks:milk (M) or water (W). Which shows the complete set of possible combinations?
14. The mayor of Opa-Locka wants to find the probability that families with three children all have girls. Which simulation would best model this situation?
15. In 2010, an Angus Reid Public Opinion poll found that 56% of all Canadians admit to regularly swearing when they converse with friends (46% for Americans). A researcher plans to select a random sample of 200 Canadians from Montreal to further survey them about this topic. Use a Normal model to find the probability that at least 120 Canadians in their sample admit to swearing with their friends.
16. A data set is approximately normally distributed. About what percentage of the data lies within one standard deviation of the mean?
17. You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?
18. True or False:Probability Models have two items:(1) Sample Space and (2) The events within the sample space and their probabilities.
19. If a bag has 3 red, 2 green, and 5 blue marbles, what is the probability of drawing a red?
20. What does the (1-p) stand for in the binomial probability formula?
21. What is the probability of drawing a heart from a standard deck of 52 cards?
22. Decide whether a binomial model applies and explain why or why not. Counting the number of red gummy bears you get as you take them one at a time from a small bag.
23. If a spinner has 5 sections and one section is labeled 'D', what is the probability of not landing on 'D'?
24. If the probability of an event is 0.25, what is the probability of the event not occurring?
25. A factory inspects 20 light bulbs. Each bulb is either defective or not defective, and each inspection is independent. Which probability model is most appropriate?
26. If you roll a dice 100 times, how many times do you expect it to roll a 1 or 2?
27. Simulation tools help to eliminate ..... from decision-making so that each event is equally likely to occur.
28. The probabilty of an event given that another event has already occurred
29. A list of each possible outcome along with its probability
30. A model predicts a coin lands heads up with probability 0.5. If you flip the coin 10 times and get 8 heads, should you immediately reject the model?
31. If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.
32. Which of the following is NOT an example of independent events?
33. A model says a fair die will land on each number with probability $\frac{1}{6}$
34. If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?
35. Suppose 12% of the engines manufactured on a certain assembly line have at least one defect. What is the expected number of engines you expect to find WITHOUT a defect?
36. A model says a spinner lands on red 25% of the time. In 20 spins, it lands on red 10 times. Is this result consistent with the model?
37. Determine the likelihood of the following event:Drawing a red card from a standard deck of cards
38. What is the complement of choosing a red marble if there are 8 red marbles in a jar of 15?
39. An orchard owner knows that he'll have to use about 6% of the apples he harvests for cider because they are bruised or blemishes. He expects a tree to produce about 300 apples. What is the probability that less than 20 apples will be used for cider?
40. A manufacturer tests a certain number of headsets that are produced each day. There is a 2.5% chance of finding a defective headset. If 280 units of that model are tested, the manufacturer would expect to find approximately ..... headsets without any defects.
41. Decide whether a binomial model applies and explain why or why not. Counting the number of times a waiter drops his tray during his shift.
42. What type of event is "rolling an even number then a 6" on a single die?
43. When rolling a die twice, what's the probability of getting a 1 both times?
44. If you have a long rope and you dye a segment of it, what's the probability you'll grab the dyed part?
45. Lena has a 90% chance of completing a task at work. Marcus has an 80% chance of completing a task at work. Assume that Lena's chance of completing a task does not affect Marcus's chance of completing a task. What is the probability that neither Lena nor Marcus completes their task? Write your answer as a decimal.
46. A model predicts that a basketball player makes 80% of free throws. If the player misses 4 free throws in a row, does this result alone prove the model is wrong?
47. How do you calculate the experimental probability of an event?
48. A coin is flipped 3 times. If you get tails once you get $ 5, tails twice you get $ 15, and tails on all three flips you get $ 40. What is the expected amount of money you will get? Hint:draw a tree diagram to determine the probability of each outcome, you should have 3 events, then set up the probability model.
49. Classify:Height of a plant measured each day for 30 days.
50. Find the probability of achieving success with the event:Drawing a black card from a standard deck of cards.
51. What does it mean if two events are independent?
52. Which of the following is a dependent event?
53. Which scenario represents a uniform probability model?
54. Which of the following represents a simulation of drawing a card from a deck?
55. What tool is best used to represent all outcomes of flipping two coins?
56. A computer chip company manufacturer rejects 2% of the chips produced because they fail presale testing. How many do you expect to test before finding a bad one?
57. 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. Calculate the standard deviation of the sampling distribution.
58. Given that families continue to have children until they get a girl, what is the expected number of children per family? Standard deviation?
59. Which of the following is FALSE about binomial probabilities?
60. Find the probability of achieving success with the event:Rolling a die twice in a row and getting two threes.
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