(5 points) Clark Kent has just received a report across his desk at the Daily Planet about a prison riot halfway across the world that is inevitably going to turn into a mass prison break if he doesn't stop it. Let X be the number of prisoners to escape. From experience, Clark knows how long it will take him to get away from the crowd in the newsroom, change into Superman, and fly to the prison at top speed. Given this knowledge he figures a good probability mass function for X is X 0 1 2 3 4 5 P(X = I) .14 .2 .1 k .31 .13 (a) What is the value of & that makes Clark's pmf valid? Why? (1 points) (b) What is the probability of having at least one prisoner escape? (2 points) (c) What is the probability of having no more than 3 prisoners escape? (2 points)