3. Mario can solve a level 1 Sudoku puzzle in 140 seconds on average. You have asked Mario to demonstrate his Sudoku skills and you bring him a new level 1 puzzle to solve. Let M be the amount of time it takes Mario to solve the Sudoku puzzle. a) What are the parameter(s), distribution and support of M? b) What is the probability it takes Mario between 115 and 150 seconds to solve the Sudoku puzzle? c) In a contest of 12 minutes, there are several level 1 Sudoku puzzles for Mario to solve. Let K be the number of level 1 Sudoku puzzles that Mario can solve in 12 minutes. He solves each puzzle independently of the others. What is the distribution, parameter(s), and support of K? (Hint: also think about minutes vs seconds. What is the probability that Mario solves 4 or 5 level 1 Sudoku puzzles in the 12 minute contest? d) e) Say Mario solved 6 level 1 Sudoku problems in the 12 minute contest (all attempts are independent), what is the probability that he solved 2 of them in the first 240 seconds of the contest?