Question 7 50 pts Chapter 4 Six distinct numbers are randomly distributed to players A, B, C, D, E, F. Whenever two players compare their numbers, the one with the larger number is declared the winner. Initially, players A and B compare their numbers; the winner then compares with player C, and followed by D, and then by E, and then by F. Let X denote the number of times that the player A is a winner. Let p(.) denote X's probability mass function and F(.) denote X's cumulative distribution function. Find the following values. Input your answers in the following boxes (Hint: keep exactly 4 decimal places after the decimal point) p(0)= P(1)= P(2)= P(3)= P(4)= F(0)= F(1.1)=[f1.1] F(2)= F(3.99)=[13.99] F(5.1)=[f5.1]