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In responding to a survey question on a sensitive topic
Chapter 3, Problem 79E(choose chapter or problem)
Problem 79E
In responding to a survey question on a sensitive topic (such as “Have you ever tried marijuana?”), many people prefer not to respond in the affirmative. Suppose that 80% of the population have not tried marijuana and all of those individuals will truthfully answer no to your question. The remaining 20% of the population have tried marijuana and 70% of those individuals will lie. Derive the probability distribution of Y , the number of people you would need to question in order to obtain a single affirmative response.
Questions & Answers
QUESTION:
Problem 79E
In responding to a survey question on a sensitive topic (such as “Have you ever tried marijuana?”), many people prefer not to respond in the affirmative. Suppose that 80% of the population have not tried marijuana and all of those individuals will truthfully answer no to your question. The remaining 20% of the population have tried marijuana and 70% of those individuals will lie. Derive the probability distribution of Y , the number of people you would need to question in order to obtain a single affirmative response.
ANSWER:
Solution:
Step 1 of 2:
Given,
In a survey a question has been asked (“Have you ever tried marijuana?”), many people are not responded.
80% of the population not tried marijuana and the remaining 20% of the population have tried marijuana and 70% of those individuals will lie.
The claim is to derive the distribution of Y