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Probability Models Quiz 7 (25 MCQs)

Quiz Instructions

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1. The probabilty of an event given that another event has already occurred
2. A list of each possible outcome along with its probability
3. 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?
4. If U = \{1, 3, 5, 7, 9, 11, 13\}, then which of the following are subsets of U.
5. Which of the following is NOT an example of independent events?
6. A model says a fair die will land on each number with probability $\frac{1}{6}$
7. 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?
8. 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?
9. 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?
10. Determine the likelihood of the following event:Drawing a red card from a standard deck of cards
11. What is the complement of choosing a red marble if there are 8 red marbles in a jar of 15?
12. 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?
13. 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.
14. 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.
15. What type of event is "rolling an even number then a 6" on a single die?
16. When rolling a die twice, what's the probability of getting a 1 both times?
17. If you have a long rope and you dye a segment of it, what's the probability you'll grab the dyed part?
18. 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.
19. 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?
20. How do you calculate the experimental probability of an event?
21. 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.
22. Classify:Height of a plant measured each day for 30 days.
23. Find the probability of achieving success with the event:Drawing a black card from a standard deck of cards.
24. What does it mean if two events are independent?
25. Which of the following is a dependent event?
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