MATH 140 INTRO. TO STATS. TEST 109 THP FALL 2022 PAGE 3 NAME: 3. Suppose an urn contains 4 green balls, 5 purple balls, and 1 gold ball. A. A ball is drawn from the urn. What is the probability the ball is green or gold? (4 pts) Answer 3A: B. Assume the ball drawn in part A is purple. Now, another ball is drawn from the urn. What is the probability the ball is purple or gold? (4 pts) Answer 3B: B. Put all the balls back; shake up the urn. A ball is drawn from the urn. Then another ball is drawn from the urn. What is the probability that the second ball is purple given the first ball drawn is gold? (4 pts) Answer 3C: D. Put all the balls back; shake up the urn. Now, two balls are drawn from the urn. What is the probability that neither of the balls is green? (8 pts) Answer 3D: E. Now you throw away the urn. You have a fair standard 52-card poker deck of cards. Pick a card. What is the probability the card is a jack or club? (5 pts) Answer 3E:MATH 140 TEST 109 THP FALL 2022 NAME: (PLEASE PRINT LEGIBLY WITH MS. OR MR. BEFORE YOUR NAME) 9 A.M. CLASS No help from any person other than yourself and from any notes other than your own. However, you may use books from the library. You may discuss this paper only with the instructor before handing it in to be graded. If you do not understand these directions see the grading policies under cheating. Use of outside aides other than the notes, your own notes, the Z-table hand-out, and your brain is forbidden! No outside aides (no calculators, no computers, no looking things up on the internet, etc.) person:" "I understand the definition of cheating; I did not use outside aides; and, I received no help from another person nor did I confer with any other Signature: Due: 9:00 A.M. Monday, 2022 Oct. 17. 75 point part of the test. Use handwriting and pencil only. (-10 for each direction not followed). Do your work only on this paper (turn in NO other paper other than this test (10 point deduction automatically if this is not done)). Do not detach pages (-10 for each page detached). The back of each page serves as 'scratch work' areas. If it is handed in a time, x, such that 9:10 9:25 the student will earn a zero. If it is handed in early slide it under the door of the seminar room (230 Lytle Hall) outside my office (230A Lytle Hall). Part III: Show all work - no credit otherwise. All the necessary & sufficient steps for a solution to a problem must be shown on this test - If there is no work shown - no credit will be earned - justification must be given to claim mathematical truth! If an answer does not exist please write DNE in the answer blank and explain why it does not exist. DO 3 OF THE 4 PROBLEMS in this section. WRITE OMIT ACROSS THE PAGE OF THE PROBLEM NOT DONE (if this is not done properly 4 will be omitted automatically I am not searching for the "best."). 50 points 1. You have a pair of standard fair dice. One is coloured blue the other orange. You roll them. You note the two faces turned up and you take the difference of the orange die from the blue die (blue minus orange of the numbers shown). A. Draw a standard chart as discussed in class to illustrate this experiment. (10 points) B. Find the probability the event {-2} (the result is negative 2). (5 pts) Answer B: C. Find the probability the event { 1, 2 } (the result is positive 1 or 2). (5 pts) Answer C: D. Find the probability the event {x | x