Melissa is a basketball player who makes 70% of her free throws over the course of a season (and therefore fails 30%). We assume throws outcome are independent. In a key game, Melissa shoots 10 free throws and misses 5 of them. The fans think that she failed because she was nervous. But is it unusual for Melissa to perform this poorly?

1. What is the probability that Melissa misses exactly 5 throws out of 10?
2. What is the probability that she misses 5 or more throws out of 10?
3. What is the probability that she misses 5 or less throws out of 10?
4. How many missed throws do you expect among 10 free throws?
5. Would you conclude that Melissa's performance is highly unusual?