Thank you for the opportunity to help you with your question!
Hi, Elsa! So this is NOT a probability distribution. The reason why it is not a probability distribution is because all values reported in a given day must equal 1. .223+.335+.251+..126+.047 = .982. So, this is is less than 1 and does not equal 1.
In order to satisfy requirement for probability distribution, we need to add a car theft that would equal to 1. Since we don't know what the exact probability of 5 car thefts are, we must add X>4= probability of .018 . Adding the probability of .018 brings the probability up to 1 which would satisfy the requirement.
Please let me know if you need any clarification. I'm always happy to answer your questions.