3. (16 points) Consider the integer numbers 1 thru 10. If we define the event A...

Transcribed Image Text:

3. (16 points) Consider the integer numbers 1 thru 10. If we define the event A as a number less than 7 and the event B as a number which is even then: (a) Construct the Venn diagram showing these 10 numbers and how they are located in both the events A and B (b) If each of the numbers 1 thru 10 are equally likely then construct the the Venn diagram from part showing only probabilities (c) Calculate and show in proper notation the probability of being in the event A or B. Sketch the VENN diagram and shade in this area. (d) Calculate and show in proper notation the probability of being in the event A and B. Sketch the VENN diagram and shade in this area. (e) Calculate and show in proper notation the probability of being in the event A or (not B). Sketch the VENN diagram and shade in this area. (f) Calculate and show in proper notation the probability of being in the event (not A) and B. Sketch the VENN diagram and shade in this area. (g) Calculate and show in proper notation the probability of an even number being less than 7. (h) Calculate and show in proper notation the probability of a number less than 7 being even. 3. (16 points) Consider the integer numbers 1 thru 10. If we define the event A as a number less than 7 and the event B as a number which is even then: (a) Construct the Venn diagram showing these 10 numbers and how they are located in both the events A and B (b) If each of the numbers 1 thru 10 are equally likely then construct the the Venn diagram from part showing only probabilities (c) Calculate and show in proper notation the probability of being in the event A or B. Sketch the VENN diagram and shade in this area. (d) Calculate and show in proper notation the probability of being in the event A and B. Sketch the VENN diagram and shade in this area. (e) Calculate and show in proper notation the probability of being in the event A or (not B). Sketch the VENN diagram and shade in this area. (f) Calculate and show in proper notation the probability of being in the event (not A) and B. Sketch the VENN diagram and shade in this area. (g) Calculate and show in proper notation the probability of an even number being less than 7. (h) Calculate and show in proper notation the probability of a number less than 7 being even.

Answer rating: 100% (QA)

Solution 13 a PA 1 2 3 4 5 6 6 10 b A d A PB 2 4 6 8 10 5 To PA both B 2 4 6 3 10 15 3 3 To AB PA ... View the full answer