Hal and Jose are avid crossword puzzle solvers. Hal solves 48% of his crossword puzzles in under 30 minutes, while Jose solves 39% of his crossword puzzles in under 30 minutes. Suppose that Hal solves 22 crossword
puzzles and Jose solves 26 crossword puzzles. Because njoj, nj (1-P), and nf (1-PH) are all greater than 10, the
Normal condition is met. Let H = the proportion of Hal's crossword puzzles solved in under 30 minutes and J = the
proportion of Jose's crossword puzzles solved in under 30 minutes. What is the probability that Jose's proportion
of crossword puzzles solved in under 30 minutes is greater than Hal's?