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a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs should wear pants on their back legs" mutually exclusive? b. What is the probability that the randomly chosen student thinks a hotdog is a sandwich? c. What is the probability that the randomly chosen student thinks a hotdog is a sandwich and thinks that dogs should wear pants on all 4 legs?

a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs should wear pants on their back legs" mutually exclusive? b. What is the probability that the randomly chosen student thinks a hotdog is a sandwich? c. What is the probability that the randomly chosen student thinks a hotdog is a sandwich and thinks that dogs should wear pants on all 4 legs?

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
Section10.6: Summarizing Categorical Data
Problem 13CYU
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parts a to c plz

Earlier in the term, students in Math 141 were asked two questions as part of a larger survey: "Are hot dogs sandwiches?" and "If dogs wore pants, would they wear them on their front legs, back legs, or on all four legs"? A summary of responses for 70 students is given below: Hotdog is a sandwich Hotdog is not a sandwich Front legs 1 Back legs All 4 legs 1 17 26 9. 16 Suppose we randomly choose 1 student who completed this survey. a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs should wear pants on their back legs" mutually exclusive? b. What is the probability that the randomly chosen student thinks a hotdog is a sandwich? c. What is the probability that the randomly chosen student thinks a hotdog is a sandwich and thinks that dogs should wear pants on all 4 legs? d. What is the probability that the randomly chosen student thinks a hotdog is a sandwich given that the student thinks dogs should wear pants on all 4 legs? e. Is the event "the student things a hotdog is a sandwich" independent of the event "the student thinks dogs should wear pants on their front legs"?
Transcribed Image Text:Earlier in the term, students in Math 141 were asked two questions as part of a larger survey: "Are hot dogs sandwiches?" and "If dogs wore pants, would they wear them on their front legs, back legs, or on all four legs"? A summary of responses for 70 students is given below: Hotdog is a sandwich Hotdog is not a sandwich Front legs 1 Back legs All 4 legs 1 17 26 9. 16 Suppose we randomly choose 1 student who completed this survey. a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs should wear pants on their back legs" mutually exclusive? b. What is the probability that the randomly chosen student thinks a hotdog is a sandwich? c. What is the probability that the randomly chosen student thinks a hotdog is a sandwich and thinks that dogs should wear pants on all 4 legs? d. What is the probability that the randomly chosen student thinks a hotdog is a sandwich given that the student thinks dogs should wear pants on all 4 legs? e. Is the event "the student things a hotdog is a sandwich" independent of the event "the student thinks dogs should wear pants on their front legs"?
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