4. Random digit: A single random digit is selected using software or a random number table. a) State the sample space for the possible outcomes. [1 point] b) State the probability for each possible outcome, based on what you know about the way random numbers are generated. [1 point] c) Each outcome in a sample space must have probability between 0 and 1, and the total of the probabilities must equal 1. Show that your assignment of probabilities in part b satisfies this rule. [2 points] 5. More true-false questions: Your teacher gives a true- false pop quiz with 10 questions. a) Show that the number of possible outcomes for the sample space of possible sequences of 10 answers is 1024. [2 points] b) What is the complement of the event of getting at least one of the questions wrong? [1 point] c) With random guessing, show that the probability of getting at least one question wrong is 0.999. [1 point]