At Lara’s school, $25\%$ of the student body is male and $40\%$ of the students walk to school. Assume that these two events are independent. If a student from Lara’s school is selected at random, determine the following probabilities.

1. $P$(student is female)

   Hint (a):

   If $25\%$ out of $100\%$ is male, then what percentage is female?

2. $P$(student is male and does not walk to school)

   Hint (b):

   Independent events: $P\text{(male and not walk)}=P\text{(male)}·P\text{(not walk)}$

3. $P$(student walks to school or does not walk to school)

4. Identify the sample space in parts (b) and (c) above as a “union” or an “intersection”.

   Hint (d):

   Refer to the Math Notes box in Lesson 3.1.5 or the definitions of union and intersection in the glossary.