Probability Models Quiz 5 (25 MCQs)

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1. If you pick a card from a deck, do not replace it, and pick another, what is the probability that both are aces?
2. 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)
3. 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.
4. 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.
5. Probability can be written as .....
6. 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?
7. If a data set is normally distributed, which statement must be true?
8. In compound probability, if one event affects another event we call it-
9. 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.
10. Decide whether a binomial model applies and explain why or why not. Counting the number of Democrats, Republicans, and Independents in the school faculty
11. 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?
12. 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.
13. 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?
14. 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.
15. Which of the following is NOT an assumption of the Binomial distribution?
16. 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.
17. 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?
18. A probability model when all the probabilities are equally likely to occur
19. What is the value of 5!
20. How many distinct permutations can be made from the word INDEPENDENCE?
21. 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.
22. How would you describe the probability of something that has a probability of 1?
23. What is the probability of flipping a fair coin and getting heads
24. 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?
25. 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?