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A confidential survey aims to estimate the percentage of drivers who text while driving. To allay fear that confidentiality might be breached, the following method is employed. A subject is asked to pick a random number between 1 and 100 (without revealing it). If it is between 21 and 55, they answer the question, "Do you text and drive regularly?" Otherwise, they answer the question, "Is the month of your birthday an even number?" 37.5% of all responses are "Yes". What is the percentage of drivers who answer the texting question with "Yes"?

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Question Text
A confidential survey aims to estimate the percentage of drivers who text while driving. To allay fear that confidentiality might be breached, the following method is employed. A subject is asked to pick a random number between 1 and 100 (without revealing it). If it is between 21 and 55, they answer the question, "Do you text and drive regularly?" Otherwise, they answer the question, "Is the month of your birthday an even number?" 37.5% of all responses are "Yes". What is the percentage of drivers who answer the texting question with "Yes"?
TopicAll Topics
SubjectStatistics
ClassClass 11