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....

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.