document.write( "Question 1154314: Consider a binomial experiment with n=6 trials where the probability of success on a single trial is p=0.85. (a) Find P(r=7). (b) Interpretation If you conducted the experiment and got fewer than 2 successes, would you be surprised? Why? \n" ); document.write( "
Algebra.Com's Answer #776752 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Consider a binomial experiment with n=6 trials where the probability of success \n" ); document.write( "on a single trial is p=0.85. \n" ); document.write( "(a) Find P(r=7). \n" ); document.write( " \r\n" ); document.write( "Either use a TI-83 or 84 graphing calculator or the long formula.\r\n" ); document.write( "\r\n" ); document.write( "If you use a TI graphing calculator:\r\n" ); document.write( "\r\n" ); document.write( "press 2nd vars and scroll down to highlight binompdf( [not binomcdf]\r\n" ); document.write( "\r\n" ); document.write( "[if your calculator is newer then trials:6, p:0.85, x value:7, paste, enter]\r\n" ); document.write( "\r\n" ); document.write( "press enter \r\n" ); document.write( "\r\n" ); document.write( "Answer: 0\r\n" ); document.write( "\r\n" ); document.write( "Why is it 0? Because it is impossible to get 7 successes out of only 6 trials!\r\n" ); document.write( "(Bet you already knew that, right? lol)\r\n" ); document.write( "\r\n" ); document.write( "------------(b) Interpretation If you conducted the experiment and got fewer than 2 successes, would you be surprised? \r\n" ); document.write( "\r\n" ); document.write( "\"Fewer than 2\" must be interpreted as \"1 or fewer\"\r\n" ); document.write( "\r\n" ); document.write( "press 2nd vars and scroll down to highlight binomcdf( [not binompdf this time]\r\n" ); document.write( "\r\n" ); document.write( "press enter \r\n" ); document.write( "\r\n" ); document.write( "[if your calculator is newer then trials:6, p:0.85, x value:1 paste, enter]\r\n" ); document.write( "\r\n" ); document.write( "press enter \r\n" ); document.write( "\r\n" ); document.write( "Answer: 3.8728125E-4 = 0.00038728125\r\n" ); document.write( "\r\n" ); document.write( "Yes we would be surprised because that probability is less than 0.05. We should\r\n" ); document.write( "be surprised at anything happening that happens less than 5% of the time. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |