May I have the steps to solve this problem, please? Thank you!

Throw 50 balls to 30 bins. Each ball is equally likely.r to land in an},r of the bins and the throw of each ball is independent. {If the value of nal result is hard to calculate, you can write an expression equivalent to the result without calculating the value. For example, you can write 2:22 2' instead of its nal value 5050.) (a) What is the probability that there exists at least one empty box? (b) What is the expected number of bins that receive exactly one ball? (c) What is the expected number of balls that are not alone in their bin