document.write( "Question 1197392: A customer-service supervisor regularly conducts a survey of customer satisfaction. The results of the latest survey indicate that 8% of customers were not satisfied with the service they received at their last visit to the store. Of those who are not satisfied, only 22% return to the store within a year. Of those who are satisfied, 64% return within a year. A customer has just entered the store. In response to your question, he informs you that it is less than 1 year since his last visit to the store. What is the probability that he was satisfied with the service he received? \n" ); document.write( "
Algebra.Com's Answer #830647 by ikleyn(52834)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A customer-service supervisor regularly conducts a survey of customer satisfaction. \n" ); document.write( "The results of the latest survey indicate that 8% of customers were not satisfied \n" ); document.write( "with the service they received at their last visit to the store. \n" ); document.write( "Of those who are not satisfied, only 22% return to the store within a year. \n" ); document.write( "Of those who are satisfied, 64% return within a year. \n" ); document.write( "A customer has just entered the store. In response to your question, he informs you \n" ); document.write( "that it is less than 1 year since his last visit to the store. \n" ); document.write( "What is the probability that he was satisfied with the service he received? \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "They want you calculate the conditional probability\r\n" ); document.write( "\r\n" ); document.write( " P(a customer was satisfied with the service he received | given that he returned within a year)\r\n" ); document.write( "\r\n" ); document.write( "This probability is the fraction, whose denominator is the number of customers\r\n" ); document.write( "that returned within a year, while the numerator is the number of customers\r\n" ); document.write( "that were satisfied AND returned within a year.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The denominator is equal to 0.08*0.22 + (1-0.08)*0.64 = 0.6064.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The numerator is (1-0.08)*0.64 = 0.5888.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The probability is this fraction/(value) \r\n" ); document.write( "\r\n" ); document.write( " P =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |