A kindergarten class has three left-handed children and seven right-handed children. Two children are selected without replacement for a shoe-tying lesson. Let X 5 the number who are left-handed.
a. Write the simple events in the sample space. For instance, one simple event is RL, indicating that the first child is right-handed and the second one is left-handed.
b. Find the probability for each of the simple events in the sample space. (Hint: A tree diagram may help you solve this.)
c. Find the probability distribution function for X.
d. Draw a picture of the probability distribution function for X.