A kindergarten class has four left-handed children and twelve 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 probabi 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 for X. 1 P(X = k)

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