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Individuals at risk for colon cancer are advised to have a colonoscopy beginning at age 50. The following table summarizes the results for a sample of 250 patients at risk for colon cancer: Colon cancer: yes Colon cancer: no | Total x 50-x 50 Colonoscopy: yes Colonoscopy: Total no 5-x 195+x 200 5 245 250 In this table, î denotes the number of patients with colon cancer who had a colonoscopy. Suppose that we select one of the 250 patients at random. Find the value of x such that A and B are independent events, where A is the event that a patient has colon cancer, and B is the event that a patient has a colonoscopy. For this value of x, can we say that A' and B' are also independent events?

Individuals at risk for colon cancer are advised to have a colonoscopy beginning at age 50. The following table summarizes the results for a sample of 250 patients at risk for colon cancer: Colon cancer: yes Colon cancer: no | Total x 50-x 50 Colonoscopy: yes Colonoscopy: Total no 5-x 195+x 200 5 245 250 In this table, î denotes the number of patients with colon cancer who had a colonoscopy. Suppose that we select one of the 250 patients at random. Find the value of x such that A and B are independent events, where A is the event that a patient has colon cancer, and B is the event that a patient has a colonoscopy. For this value of x, can we say that A' and B' are also independent events?

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 22PPS
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Individuals at risk for colon cancer are advised to have a colonoscopy beginning at age 50. The following table summarizes the results for a sample of 250 patients at risk for colon cancer: Colon cancer: yes Colon cancer: no Total x 50-x 50 Colonoscopy: yes Colonoscopy: Total no 5-x 195+x 200 5 245 250 In this table, x denotes the number of patients with colon cancer who had a colonoscopy. Suppose that we select one of the 250 patients at random. Find the value of a such that A and B are independent events, where A is the event that a patient has colon cancer, and B is the event that a patient has a colonoscopy. For this value of x, can we say that A' and B' are also independent events? A) x = 1. Yes, for x = 1, A' and B' are also independent. B) x = 1. No, for x = 1, A' and B' are not independent. C) x = 5. Yes, for x = 5, A' and B' are also independent. D) x = 5. No, for x = 5, A' and B' are not independent. E) There is no value of x for which A and B are independent.
Transcribed Image Text:Individuals at risk for colon cancer are advised to have a colonoscopy beginning at age 50. The following table summarizes the results for a sample of 250 patients at risk for colon cancer: Colon cancer: yes Colon cancer: no Total x 50-x 50 Colonoscopy: yes Colonoscopy: Total no 5-x 195+x 200 5 245 250 In this table, x denotes the number of patients with colon cancer who had a colonoscopy. Suppose that we select one of the 250 patients at random. Find the value of a such that A and B are independent events, where A is the event that a patient has colon cancer, and B is the event that a patient has a colonoscopy. For this value of x, can we say that A' and B' are also independent events? A) x = 1. Yes, for x = 1, A' and B' are also independent. B) x = 1. No, for x = 1, A' and B' are not independent. C) x = 5. Yes, for x = 5, A' and B' are also independent. D) x = 5. No, for x = 5, A' and B' are not independent. E) There is no value of x for which A and B are independent.
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