According to a 2009 Reader's Digest article, people throw away approximately 12% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 144 grocery shoppers to investigate their behavior. What is the probability that the sample proportion exceeds 0.15? I keep getting an answer that is SUPER close to the right answer but isn't... Can someone help me out with this one and show me how to do it?

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.