# Which of the following statements best defines the cardinality of a sample space [Solved] #3. a) Part 1.6, web page 85, #16: Are you able to conclude that A = B if A and B are 2 units with the identical energy set Why or why not The union of all of the units within the energy set of X is X, so we are able to recuperate a set from its energy set. The reply is sure b) Part 1.6, web page 86, #22: Suppose that A x B = , the place A and B are units. What are you able to conclude One in all A or B (or each) should be empty (if neither A nor B have been empty, there can be a component in AxB) #4. a) Part 1.7, web page 95, #14a,e: Let A, B and C be units. Present thata) ( A U B) ( A U B U C) (i) in phrases by displaying the suitable subset relations as completed in school Suppose x A U BThen x A or BTherefore x A U B U C(honestly, that is nearly given to be true by the definition of union) b) (B A) U (C A) = (B U C) A We have to present: 1. (B A) U (C A) (B U C) Aand 2. (B U C) A (B A) U (C A)

Possibility C. The cardinality of occasion Bs pattern area is 4 higher than occasion As. Step-by-step clarification: The cardinality of of the pattern areas of the occasions signifies that, the variety of potential outcomes of an occasion. Right here there are two occasions, Occasion A: Flipping a coin Occasion B: Rolling a typical quantity dice Cardinality of occasion A Within the case of occasion A, variety of potential outcomes are Head and Tail cardinality = 2 Cardinality of occasion B Within the case of occasion A, variety of potential outcomes are 1,2,3,4,5,and 6 cardinality = 6 The cardinality of occasion Bs pattern area is 4 higher than occasion As. Due to this fact the right reply is possibility C

The proper reply is d.In an E-R mannequin, the three forms of most cardinality are 1:1, 1:N, and N:M. Clarification: An entity relationship diagram is a diagram that illustrates how entities relate to one another. ER diagrams of a system are sometimes used to design or refine relational databases within the areas of software program engineering, enterprise info techniques, training, and analysis. Also referred to as the ERD mannequin or ER mannequin, they use a set of defining symbols reminiscent of rectangles, rhombuses, ovals, and hyperlinks to specific the cohesion of entities, relationships, and their properties. Theyre a mirrored image of the grammatical construction and the usage of entities as nouns and relationships as verbs.

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rolling a die leads to 1,2,3,4,5, or 6, so the cardinality is 6 cardinality (b) is 4 higher than the cardinality (a). reply C

#3. a) Part 1.6, web page 85, #16: Are you able to conclude that A = B if A and B are 2 units with the identical energy set Why or why not The union of all of the units within the energy set of X is X, so we are able to recuperate a set from its energy set. The reply is sure b) Part 1.6, web page 86, #22: Suppose that A x B = , the place A and B are units. What are you able to conclude One in all A or B (or each) should be empty (if neither A nor B have been empty, there can be a component in AxB) #4. a) Part 1.7, web page 95, #14a,e: Let A, B and C be units. Present thata) ( A U B) ( A U B U C) (i) in phrases by displaying the suitable subset relations as completed in school Suppose x A U BThen x A or BTherefore x A U B U C(honestly, that is nearly given to be true by the definition of union) b) (B A) U (C A) = (B U C) A We have to present: 1. (B A) U (C A) (B U C) Aand 2. (B U C) A (B A) U (C A)

rolling a die leads to 1,2,3,4,5, or 6, so the cardinality is 6 cardinality (b) is 4 higher than the cardinality (a). reply C

rolling a die leads to 1,2,3,4,5, or 6, so the cardinality is 6 cardinality (b) is 4 higher than the cardinality (a). reply C

Possibility C. The cardinality of occasion Bs pattern area is 4 higher than occasion As. Step-by-step clarification: The cardinality of of the pattern areas of the occasions signifies that, the variety of potential outcomes of an occasion. Right here there are two occasions, Occasion A: Flipping a coin Occasion B: Rolling a typical quantity dice Cardinality of occasion A Within the case of occasion A, variety of potential outcomes are Head and Tail cardinality = 2 Cardinality of occasion B Within the case of occasion A, variety of potential outcomes are 1,2,3,4,5,and 6 cardinality = 6 The cardinality of occasion Bs pattern area is 4 higher than occasion As. Due to this fact the right reply is possibility C

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The proper reply is d.In an E-R mannequin, the three forms of most cardinality are 1:1, 1:N, and N:M. Clarification: An entity relationship diagram is a diagram that illustrates how entities relate to one another. ER diagrams of a system are sometimes used to design or refine relational databases within the areas of software program engineering, enterprise info techniques, training, and analysis. Also referred to as the ERD mannequin or ER mannequin, they use a set of defining symbols reminiscent of rectangles, rhombuses, ovals, and hyperlinks to specific the cohesion of entities, relationships, and their properties. Theyre a mirrored image of the grammatical construction and the usage of entities as nouns and relationships as verbs.

The proper reply is d.In an E-R mannequin, the three forms of most cardinality are 1:1, 1:N, and N:M. Clarification: An entity relationship diagram is a diagram that illustrates how entities relate to one another. ER diagrams of a system are sometimes used to design or refine relational databases within the areas of software program engineering, enterprise info techniques, training, and analysis. Also referred to as the ERD mannequin or ER mannequin, they use a set of defining symbols reminiscent of rectangles, rhombuses, ovals, and hyperlinks to specific the cohesion of entities, relationships, and their properties. Theyre a mirrored image of the grammatical construction and the usage of entities as nouns and relationships as verbs.

rolling a die leads to 1,2,3,4,5, or 6, so the cardinality is 6 cardinality (b) is 4 higher than the cardinality (a). reply C

For Occasion A:The pattern area includes all of the 52 outcomes of playing cards within the deck.So cardinality of occasion A = n(A) = 52 For Occasion B:The pattern area includes all of the 6 outcomes of rolling a cube.So cardinalty of occasion B = n(B) = 6 The distinction in two is 52 6 = 46 So, we are able to conclude that the cardinality of pattern area of occasion A is 46 greater than the occasion Bs pattern area. Thus the right reply is possibility A

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Possibility C. The cardinality of occasion Bs pattern area is 4 higher than occasion As. Step-by-step clarification: The cardinality of of the pattern areas of the occasions signifies that, the variety of potential outcomes of an occasion. Right here there are two occasions, Occasion A: Flipping a coin Occasion B: Rolling a typical quantity dice Cardinality of occasion A Within the case of occasion A, variety of potential outcomes are Head and Tail cardinality = 2 Cardinality of occasion B Within the case of occasion A, variety of potential outcomes are 1,2,3,4,5,and 6 cardinality = 6 The cardinality of occasion Bs pattern area is 4 higher than occasion As. Due to this fact the right reply is possibility C

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