exactly one of the three colleges. Based on a survey, 25% of the students attend College A, 35% of the students attend College B, and 40% of the students attend College C. In addition, 10% of the College A students are on the debate team, 15% of the College B students are on the debate team, 20% of the College C students are on the debate team. In part D you will determine the probability that a randomly selected student from the three colleges is on the debate team. Use the simple events defined below to answer questions A - D. A is the event the student attends College A. C is the event the student attends College C. B is the event the student attends College B. D is the event the student is on the debate team. A. Provide the probability statements (for these simple events) with their probabilities based on the information given in the scenario. B. Provide appropriate probability statements on the tree diagram. Remember: No Numbers. Complete the formula. P(AND) = P(BOD)= P(COD) = C. Provide the appropriate events on the Venn Diagram (Remember: no numbers) 1. Express event D in terms of events A, B, C: D= 2. What is true about the three events: (AD), (BOD), and (COD) that you will apply in part D?
exactly one of the three colleges. Based on a survey, 25% of the students attend College A, 35% of the students attend College B, and 40% of the students attend College C. In addition, 10% of the College A students are on the debate team, 15% of the College B students are on the debate team, 20% of the College C students are on the debate team. In part D you will determine the probability that a randomly selected student from the three colleges is on the debate team. Use the simple events defined below to answer questions A - D. A is the event the student attends College A. C is the event the student attends College C. B is the event the student attends College B. D is the event the student is on the debate team. A. Provide the probability statements (for these simple events) with their probabilities based on the information given in the scenario. B. Provide appropriate probability statements on the tree diagram. Remember: No Numbers. Complete the formula. P(AND) = P(BOD)= P(COD) = C. Provide the appropriate events on the Venn Diagram (Remember: no numbers) 1. Express event D in terms of events A, B, C: D= 2. What is true about the three events: (AD), (BOD), and (COD) that you will apply in part D?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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JUST B, C, D PLEASE
Transcribed Image Text:4. Students attend either College A, College B, or College C; each student attends
exactly one of the three colleges. Based on a survey, 25% of the students attend College A, 35% of
the students attend College B, and 40% of the students attend College C. In addition, 10% of the
College A students are on the debate team, 15% of the College B students are on the debate team,
20% of the College C students are on the debate team.
In part D you will determine the probability that a randomly selected student from the three
colleges is on the debate team.
Use the simple events defined below to answer questions A - D.
A is the event the student attends College A.
C is the event the student attends College C.
B is the event the student attends College B.
D is the event the student is on the debate team.
A. Provide the probability statements (for these simple events) with their
probabilities based on the information given in the scenario.
B. Provide appropriate probability statements on the tree diagram.
Remember: No Numbers.
r
Complete the formula.
P(AND) =
P(COD) =
C. Provide the appropriate events on the Venn Diagram (Remember: no numbers)
1. Express event D in terms of events A, B, C:
D =
2. What is true about the three events: (AD),
(BOD), and (CD) that you will apply in part D?
Remember: No Numbers in your formulas; no calculations.
Start: P(D) =
P(BOD) =
D. Provide the sequence of 3 formulas (include strategies) necessary to determine the probability that a
randomly selected student from the three colleges is on the debate team.
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