1 / 26

Into to Statistics Jeopardy

Into to Statistics Jeopardy. Probability. Probability Dist n. 100. 100. 200. 200. 300. 300. 400. 400. 500. 500. 600. 600. Credits. Probability - 100. Which of the following is not a valid probability a.) 2/3 b.) 1/8 c.) .70 d.) 5/4. Answer. Probability - 200.

Download Presentation

Into to Statistics Jeopardy

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Into to Statistics Jeopardy Probability Probability Distn 100 100 200 200 300 300 400 400 500 500 600 600 Credits

  2. Probability - 100 Which of the following is not a valid probability a.) 2/3 b.) 1/8 c.) .70 d.) 5/4 Answer

  3. Probability - 200 On a multiple choice test with four possible answers for each question, what is the probability of answering a question correctly if you make a random guess? a.) ¼ b.) ¾ c.) ½ d.) 1 Answer

  4. Probability - 300 A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected, what is the probability that it is blue? a.) 1/4 b.) 1/3 c.) 1/5 d.) 1/9 Answer

  5. Probability - 400 If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. a.) 31/365 b.) 1/31 c.) 1/365 d.) 1/12 Answer

  6. Probability - 500 • An assignment of probability must obey which of the following? • a) The probability of any event must be a number between 0 and 1, inclusive. • b) The sum of all the probabilities of all outcomes in the sample space must be exactly 1. • c) The probability of an event is the sum of the outcomes in the sample space which make up the event. • d) All of the above. • e) A and B only. Answer

  7. Probability - 600 A class consists of 61 students, 10 of which are women. If a student is chosen at random, what is the probability that the student is not a women? a.) 10/61 b.) 1/61 c.) 51/61 d.) 10/51 Answer

  8. Probability - 100 Answer Which of the following is not a valid probability d.) 5/4 Probabilities are always a value between zero and 1 inclusive. Since 5/4 is greater than 1, it cannot be a valid probability.

  9. Probability - 200 Answer On a multiple choice test with four possible answers for each question, what is the probability of answering a question correctly if you make a random guess? a.) ¼ The numerator in our fraction indicates the number of correct choices, the denominator is the total number of choices.

  10. Probability - 300 Answer A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected, what is the probability that it is blue? a.) 1/4 There are 3 blue marbles out of a total of 12 marbles, so the probability of drawing a blue marble is 4/12 which reduces to 1/4

  11. Probability - 400 Answer If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. a.) 31/365 There are 31 days in May out of 365 possible birthdays. (Note: since not all months have the same number of days, we must use days instead of months to find the probability.)

  12. Probability - 500 Answer • An assignment of probability must obey which of the following? • a) The probability of any event must be a number between 0 and 1, inclusive. • b) The sum of all the probabilities of all outcomes in the sample space must be exactly 1. • c) The probability of an event is the sum of the outcomes in the sample space which make up the event. • d) All of the above. • a, b, and c are all true statements

  13. Probability - 600 Answer A class consists of 61 students, 10 of which are women. If a student is chosen at random, what is the probability that the student is not a women? c.) 51/61 If there are 61 students, 10 of which are women, then there must be 51 (61-10) which are not women. So the probability of not selecting a woman is 51/61

  14. Probability Distn - 100 Determine whether the following is a valid probability distribution a.) Yes b.) No Answer

  15. Probability Distn - 200 Determine whether the following is a valid probability distribution a.) Yes b.) No Answer

  16. Probability Distn - 300 In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distn for the number of adults (among 4 randomly selected adults) who have a college degree Find the probability that there are at least 2 with college degrees. a.) 0.3456 b.) 0.8208 c.) 0.4752 d.) 0.5248 Answer

  17. Probability Distn - 400 Find the probability that there are less than 3 people who have college degrees. a.) 0.3456 b.) 0.8704 c.) 0.5248 d.) 0.1296 Answer

  18. Probability Distn - 500 Find the expected number (the mean number) of people with college degrees from 4 randomly chosen people. Answer

  19. Probability Distn - 600 Find the standard deviation for the number of people who have college degrees out of 4 randomly selected people Answer

  20. Probability Distn - 100 Ans. Determine whether the following is a valid probability distribution • b.) No • 0 ≤ P(x) ≤ 1—This condition is met • ∑ P(x) = 1– The sum of the probabilities = .977 which ≠ 1---so this condition is not met and the distn is not valid

  21. Probability Distn - 200 Ans. Determine whether the following is a valid probability distribution • b.) No • 0 ≤ P(x) ≤ 1—This condition is not met and the distn is not valid • ∑ P(x) = 1– The sum of the probabilities = 1

  22. Probability Distn - 300 Ans. Find the probability that there are at least 2 with college degrees. b.) 0.8208 The probability of at least 2 having college degrees is found by finding the sum of 2, 3, and 4 having degrees

  23. Probability Distn - 400 Ans. Find the probability that there are less than 3 people who have college degrees. c.) 0.5248 The probability of less than 3 people having college degrees is found by finding the sum of 2, 1, and 0 having degrees= .0256+.1536+.3456

  24. Probability Distn - 500 Ans. To find the expected value (the mean) of the distribution μx = ∑ x •P(x) = 0(.0256) + 1(.1536) + 2(.3456) + 3(.3456) + 4(.1296)= 2.4 TI-Tips: X’s in list 1: P(x) in list 2: 1-var stats L1, L2

  25. Probability Distn - 600 Ans. To find the standard deviation: σ=√∑(x-μ)2•P(x) (0-2.4)2•.0256 + (1-2.4)2•.1536 + (2-2.4)2•.3456 + (3-2.4)2•.3456 + (4-2.4)2•.1296 = .9798

  26. Credits Questions have come from the Test Bank for Basic Practice of Statistics And Essentials of Statistics

More Related