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your methods as well as on the accuracy and completeness of your 1. The table summarizes the relationship between two categorical variables, grade level and the student's answer to the question, "Do you eat regularly in the school cafeteria?" Grade 9th 130 18 148 Eat in café? 11th 122 88 210 10th 12th Yes 175 68 No 34 170 Total 209 238 a. If you choose a student at random, what is the probability they eat regularly in the cafeteria? Total 495 310 805 b. If you choose a student at random, what is the probability they eat regularly in the cafeteria, given that they are in 10th grade? c. If you choose a student at random, are the events "10th grade" and "eats regularly in the cafeteria" independent? Explain how you know.

your methods as well as on the accuracy and completeness of your 1. The table summarizes the relationship between two categorical variables, grade level and the student's answer to the question, "Do you eat regularly in the school cafeteria?" Grade 9th 130 18 148 Eat in café? 11th 122 88 210 10th 12th Yes 175 68 No 34 170 Total 209 238 a. If you choose a student at random, what is the probability they eat regularly in the cafeteria? Total 495 310 805 b. If you choose a student at random, what is the probability they eat regularly in the cafeteria, given that they are in 10th grade? c. If you choose a student at random, are the events "10th grade" and "eats regularly in the cafeteria" independent? Explain how you know.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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AP Statistics Unit 4 Free Response Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Name 1. The table summarizes the relationship between two categorical variables, grade level and the student's answer to the question, "Do you eat regularly in the school cafeteria?" Grade Eat in café? 9th 130 18 148 Yes No Total 11th 122 88 210 Pd 10th 12th 175 68 34 170 209 238 a. If you choose a student at random, what is the probability they eat regularly in the cafeteria? Total 495 310 805 b. If you choose a student at random, what is the probability they eat regularly in the cafeteria, given that they are in 10th grade? c. If you choose a student at random, are the events "10th grade" and "eats regularly in the cafeteria" independent? Explain how you know. b. Find the probability that the team wins the debate. 2. On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors, and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. a. Sketch a tree diagram to model this process.
Transcribed Image Text:AP Statistics Unit 4 Free Response Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Name 1. The table summarizes the relationship between two categorical variables, grade level and the student's answer to the question, "Do you eat regularly in the school cafeteria?" Grade Eat in café? 9th 130 18 148 Yes No Total 11th 122 88 210 Pd 10th 12th 175 68 34 170 209 238 a. If you choose a student at random, what is the probability they eat regularly in the cafeteria? Total 495 310 805 b. If you choose a student at random, what is the probability they eat regularly in the cafeteria, given that they are in 10th grade? c. If you choose a student at random, are the events "10th grade" and "eats regularly in the cafeteria" independent? Explain how you know. b. Find the probability that the team wins the debate. 2. On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors, and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. a. Sketch a tree diagram to model this process.
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