please solve q9 on page

( ) let X bo a ramm 7 . Ure the probability axioms to prove : a ) If A and B are any events, then P ( A IB ) = PCA ) - P (AND ) 6) If A CB, then P CA ) = P(B ). a) Let X be a geometric random variable with parameter p. Show that PC X = an odd integers 6) Let x be a binomial random variable with parameters n= 10 and p = 0:1. Find P ( x= an odd integer) 9 ) Five balls numbered 1, 2, 3, 4 and 5 are placed in bag an 2 balls are randomly selected from the 5 and their numbers noted. Find the probability distribution for the following random variables: The largest of 2 sampled numbers. b ) The sum of the 2 sampled numbers