Records of a health insurance company show that 30% of its policyholders over 50 submit a claim during the year. Based on what you have covered in the course, assume the likely probability distribution of this variable, and answer the following questions, if 15 policyholders over 50 are selected at random a. What is the probability that at least 10 will submit a claim during the year? b. What is the probability that 4 will submit a claim during the year? c. How many do you expect to submit a claim? What is the standard deviation?