高频题（0）
1. Options Knowledge
Discuss your knowledge of options.
2. Knowledge of Distributions
What distributions are you familiar with, and what are the mean and variance for each of these distributions?
3. Expected Number of Empty Storage Locations
Suppose we distribute k phone numbers to n storage locations, where each location can store multiple numbers. What is the expected number of locations with no phone number?
4. Correlation between Random Variables
A fair coin is tossed three times. Let X be 1 if the first throw is tail and the third throw is head, and 0 otherwise. Let Y be 1 if the second and third throw is head, and zero otherwise. What is the correlation between X and Y?
5. Probability Calculation
Consider a process involving a coin and moving accordingly. Let p_n be the probability of landing exactly on step n. Calculate 1000(p_4 + p_5). Round your number to 3 decimal places.
