A31 If R is a geometric random variable. find P(R 2 H). Show that P(R=n+r|R?_>n)=P(R=r). [Hintz Recall the definition of the conditional probability] Give a brief verbal argument as to why this property should be true. A32 The random variable R has pmf 300') = 1/10 for r' = 1,2, . ..,1[}. Compute var(R) to 2 decimal places and explain your working