please Solve this question with proper explanation

Maroc Telecom .| KMMOO ... 8019% 06:59 03.txt Use this discrete probability distribution represented in this table to answer the following six questions. The university library records the number of books checked out by each patron over the course of one day, with the following result: P(X) 0 . 20 0. 45 0. 20 AWN 0 . 10 0 . 05 O 7. Define the random variable X for this example. 8. What is P(x > 2)? 9. What is the probability that a patron will check out at least one book? 10. What is the probability a patron will take out no more than three books? 11. If the table listed P(x) as 0.15, how would you know that there was a mistake