Construct a Venn Diagram showing three overlapping events A, B and C. Shade the region corresponding to the following events. a. A' b. AnB c. (An B) UC d. (Bu C)' e. (An B)' U C
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Q: 44. (BU A) N C = 45. ACNB = %3D 46. (B n C) UA= 47. AC U BC = 48. BUA= 49. (B U C) U A= 50. C n Aº =
A: The solutions are given to be- 44. B∪A∩C=u, r, y45. Ac∩B=u, y46. B∩C∪A=j, a, r, u, y47. Ac∪Bc=u, y,…
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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
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A: As per our guidelines we can solve first multiple-choice question and rest can be reposted.…
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- If S= {0,1,2,3,4,5,6,7,8,9} ve A = {0,2,4,6,8} , B= {1,3,5,7,9} , C={2,3,4,5} and D= {1,6, 7} list the elements of the sets corresponding to the following events: a) AUC; b) AOB; c) C'; d) (C'nD)UB; e) (SnC)'; f) (AnC')ND'. 2.Democrats with College degree: 37 Democrats with no college degree: 63 Republicans with college degree: 31 Republicans with no college degree: 69 Total number with college degrees: 68 Total number with no college degree: 132 Total number of participants: 200 d) Of those who have college degrees what is the probability of being a democrat? e) What is the probability of being a democrat or having a college degree? f) Are having a college degree and being a democrat disjoint events? g)Are having a college degree and being democrat independent events?6. Consider the sample space S = {copper, sodium, nitrogen, potassium, uranium, oxygen, zinc} and the events. A = {copper, sodium, zinc}, B = {sodium, nitrogen, potassium}, {охygen}. C = List the elements of the sets corresponding to the following events: a. (A N B') U C"; b. B’N C'; c. ANBNC; d. (A' U B') N (A’ N C). 7. Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how many ways can a person arrange to go on a sightseeing tour planned by this convention? 8. A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different heating systems, a garage or carport, and a patio or screened porch. How many different plans are available to this buyer? 9. A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum…
- can you answer d ,e and f ?1. Drawing a King on a deck of cards illustrates a/an A. Complement of Events B. Dependent Events C. Independent Events D. Union of Events 2. Activities such as rolling a die or tossing a coin, which could be repeated over and over again and which have well defined results are called A. Experiment C. Probability B. Outcome D. Sample Space 3. The probability of heads landing up when you flin 1 WList down all the elements in events A and B. Represent also in a Venn Diagram the union and intersection of events (if applicable) a. Eight names are written on a piece of paper and then placed in a box, namely, Marco, Luisa, Jenny, Carl, Kathleen, Marie, Ricardo and Jessa. Only Marco, Carl and Ricardo are males. Suppose you are asked to pick a name in the box. Let A be the event of obtaining a name that ends with a vowel and B be the event of obtaining a --------- -.. - name of male,
- Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 5; B: the numbers add to 2; C: at least one of the numbers is 2; and D: the numbers do not add to 8. Express the given event in symbolic form. The numbers do not add to 2. B B' B'UD How many elements does it contain?4b) Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily. The possible simple events can be represented as follows: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on board. The events A and B are defined as follows: A= event that Betty and Allison are both selected B = event that Charlie and Dave are both selected Then the events A and B mutually exclusive. True 2 False theFrom a standard deck of 52 playing cards, 1 card is selected. Which pairs of the following events are mutually exclusive? Q=(red) R=(5 of spades) M=(spade) N=(face card) P= (black) Choose the correct answer below. A. P and Q OC. M and N, N and R, P and Q, Q and R OE. M and Q, M and R, N and R, P and Q, Q and R OG. M and N, P and Q OL M and Q, N and R, P and Q, P and R OB. M and Q, M and R, P and Q, Q and R OD. M and Q, N and R, N and P, N and Q, P and Q, Q and R OF. P and R, Q and R OH. M and Q, N and R, P and Q, Q and R OJ. None
