Your company is concerned that a component is failing at less than the advertised life of 5000 hours. Your recall department reports 25 percent failure at 3000 hours. To evaluate this concern, you test 150 components and determine the mean time to failure of 5125 hours with a standard deviation of 976 hours. Assuming a normal distribution, what is the probability of a failure at 3000 hours of operation? Is the recall department's claim valid