A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 15 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 8 insects will survive? Round your answer to four decimal places.

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.