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Math 302 Quiz 2

Part 1 of 6

1. The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker?
2. What is the probability of drawing two queens in a row from a standard deck of cards without replacement?
3. If a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes?
4. A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed and then replaced before choosing the next from the machine?
5. If a die is rolled one time, find the probability of getting a number greater than 2.

Part 2 of 6

6. Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that greater than 40 batteries will last at least 8 hours?

7. The binomial distribution can occur in which of the following situations?
8. whenever we are interested in the number of events that occur over a given interval of time
9. whenever we sample from a population with only two types of members III. whenever we perform a sequence of identical experiments, each of which has only two possible outcomes

8. If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.
9. Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that fewer than 40 batteries will last at least 8 hours?

10. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

Part 3 of 6

11. Find the expected value of the following probability distribution.
12. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
13. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
14. Find the mean of the distribution shown below.

Part 4 of 6

15. Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below: What proportion of accidents involved more than one vehicle?  Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.  Correct.8

16. A probability experiment has two steps. There are two possible results for the first step, call them “A” and “B”. If the result for the first step was “A”, then there would be 4 possible results for the second step. If the result for the first step was “B”, then there would be 16 possible results for the second step. How many possible outcomes are there for this experiment? Place your answer in the blank. Do not use any decimal point or comma. For example, 45 would be a legitimate entry. Correct20
17. If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry. Correct14
18. A reading list for a course contains 20 articles. How many ways are there to choose three articles from this list? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. Correct1140

Part 5 of 6

19. Two events A and B are said to be independent if P(A and B) = P(A) + P(B)Incorrect

Part 6 of 6

20. The expected number of tails in 500 tosses of an unbiased coin is 200.