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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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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