A kindergarten class has seven left-handed children and fourteen right-handed children. Two children are selected without replacement for a shoe-tying lesson. Let X = the number who are left-handed....

(a) The simple events in the sample space are {RR, RL, LR, LL}. For instance, one simple event is RL, indicating that the first child is right-handed and the second one is left-handed. Find the probability for each of the simple events in the sample space. (Hint: A tree diagram may help you solve this.)

P(RR)	=
P(RL)	=
P(LR)	=
P(LL)	=

(b) Find the probability distribution function forX.