A new study by Square Trade indicates that  smartphones are 50% more likely to malfunction than simple phones over a 3-year period. Of  smartphone failures, 30% are related to internal components not working, and overall, there is a  31% chance of having your smartphone fail over 3 years.  Suppose that smartphones are shipped in cartons of N=50 phones. Before shipment n=10 phones  are selected from each carton and the carton is shipped if none of the selected phones are defective.  If one or more are found to be defective, the whole carton is tested.  a. What is the probability distribution of x, the number of defective phones related to  internal  components not working in the sample of n = 10 phones?  b. What is the probability that the carton will be shipped if two of the N= 50 smartphones in  the carton have defective internal components?  c. What is the probability that the carton will be shipped if it contains four defectives? Six  defectives?