A student randomly guesses at 25 multiple choice questions in an admission test for skills in mathematics. Each question has ve choices. 1. What is the probability the student gets exactly 13 questions correct? 2. What if we want the probability of passing the exam, that is getting more than 13 questions correct? What is the expected value? What is the variance? 5".\" It is estimated that 40 percent of investors invested in high-tech stocks, let us choose 10 investors. 1. Find the probability that 4 of them invested in high tech stocks? 2 Find the probability that more than 7 of them invested in high tech stocks? 3. Find the probability that 3 or less of them invested in high tech stocks? 4. How many investors do we expect to have invested in high tech stocks? 5 If you select 50 investors, how many would you expect to invest in high tech stock