document.write( "Question 349764: Approximately 15% of the calls to an airline reservation phone line result in a reservation being made. Suppose that an operator handles 15 calls. What is the probability that none of the 15 calls result in a reservation? (Give the answer to 3 decimals places.) \n" ); document.write( "
Algebra.Com's Answer #249985 by Theo(13342)![]() ![]() You can put this solution on YOUR website! probability of a call resulting in a reservation = .15 \n" ); document.write( "probability of a call not resulting in a reservation = .85\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 calls are made.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "what is the probability that at least 1 of them will be a reservation?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that equals 1 minus the probability that all of them do not result in a reservation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the probability of any one call not resulting in a reservation equals .85, then the probability that all 15 calls will not result in a reservation equals .85^15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that number is .087354219.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the probability that at least 1 call will result in a reservation is 1 minus the probability that no calls will result in a reservation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that probability = .912645781.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the probability that at least 1 call will result in a reservation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |