An automobile manufacturer is considering the recall of 100,000 cars to correct a safety device in them. The number of automobiles with defective safety devices is estimated to be about 10% of the 100,000 automobiles. Determine the expected number of defective items in a sample recall of 10 automobiles. What is the probability of not receiving any automobiles with defective devices in a sample of 10 automobiles? What is this probability if the sample size is increased from 10 to 1000 automobiles? Plot the variation of the probability as a function of sample size from a size of 10 to 1000 in increments of 10. (Hint: Use the hypergeometric distribution.)