Sections Covered: Appendix C and sections 2.1-2.3 in the textbook. Problem #1: An urn contains balls numbered 1 through 15. 16 balls are selected, one at at time, and with replacement. What is the probability that each ball is selected at least once? Problem #1: Enter your answer symbolically, as in these examples
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- Rework problem 13 from section 3.3 of your text, involving the selection of colored balls from a box. Assume that you have 9 purple balls and 8 green balls from which randomly to select two without replacement. (1) What is the probability that exactly one purple ball is chosen? (2) What is the probability that the second ball is green given that at least one of the balls is green?QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple: Pick a color, either red or black. Take a well-shuffled ordinary deck of 52 cards and pick 5 cards anywhere in the deck. If you pick 5 in a row of the color you chose, you win. Otherwise, you lose. You have to pay $10 for the chance to play this game, and you get $360 if you win. A standard deck has 26 red cards and 26 black cards. Calculate the expected value of playing this game in the casino. In other words, for each $10 that you spend in order to play this game, how much money should you expect to win back? Insbuie sdorli yilidad og in Colomal aw drabute sib yillidsdorg sdt belle betov trebutz & Jerit nevid d sicbibnso trons not bistov to sisM zew Insbute 6383 lidsdong and brid bns eloy Jo doig ar zi 15/W b 29110g016 HAS#8
- Rework problem 29 from section 1.4 of your text, involving the flipping of a coin. A coin is flipped. If a heads is flipped, then the coin is flipped 5 more times and the number of heads flipped is noted; otherwise (i.e., a tails is flipped on the initial flip), then the coin is flipped 4 more times and the result of each flip (i.e., heads or tails) is noted successively. How many possible outcomes are in the sample space of this experiment?Rework problem 12 from section 2.4 of your text, involving the construction of a number from a set of digits. Assume that 4 digits are selected at random from the set {2,3,4,5,6,8} and are arranged in random order. What is the probability that the resulting 4-digit number is less than 5000Problem 12 25% of likely U.S. voters think that it is too easy to vote in the United States. You randomly select five likely U.S. voters. Find the probability that the number of likely U.S. voters who think that it is too easy to vote in the United States is a) Exactly two. b) At least two. c) Less than four.
- QUESTION 1 The probability that Hamed may get grade A in Maths 102 is 0.8, and Shaker may get grade A in Maths 102 is 0.65. What is the probability that at most one of them will get grade A in Maths 102? O 0.35 O 0.48 O 0.61 O 0.41Rework problem 28 from section 3.1 of your text, involving the inspection of refrigerators on an assembly line. You should still assume that no refrigerator has both too much and too little enamel; however, use the table below instead of that given in your book to answer the following questions. Probability (too much enamel)= 0.22 Probability (too little enamel)= 0.21 Probability (uneven applicaiton)=0.34 Probability (No defects noted)= 0.46 (3) What is the probability of a paint defect which results from an improper amount of paint and uneven application? (4) What is the probability of a paint defect which results from the proper amount of paint, but uneven application?Problem 5 In my town, it's rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability , and given that it is not rainy, there will be heavy traffic with probability If it's rainy and there is heavy traffic, I arrive late for work with probability . On the other hand, the probability of being late is reduced to if it is not rainy and there is no heavy traffic. In other situations (rainy and no traffic, not rainy and traffic) the probability of being late is 0.25. You pick a random day. a. What is the probability that it's not raining and there is heavy traffic and I am not late? b. What is the probability that I am late? c. Given that I arrived late at work, what is the probability that it rained that day?
- Rework problem 21 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 8 board members: 6 females, and 2 males including Tom. There are 3 tasks to be assigned randomly, including that of notifying members of meeting times. There is at most one task per person. (1) Find the probability that Tom is given a task. (2) Find the probability that Tom is given the task of notifying members of meeting times.QUESTION 5 Four different books M, A, T, and H are to be arranged on a shelf. How many arrangements are possible? O 24 O 35 O 26 O 27 QUESTION 6 Apair of dice is rolled. Find the probability of getting a sum of 0. 16