A principal made the histogram below to analyze how many years teachers had been teaching at her school.  

1. How many teachers work at her school?

   Hint (a):

   Add up the frequencies represented by the bars. How many total teachers are there?

2. If the principal randomly chose one teacher to represent the school at a conference, what is the probability that the teacher would have been teaching at the school for $10$ or more years? Write the probability in two different ways.

   Hint (b):

   Based on the histogram, how many teachers have been teaching for $10$ years or more?

   

   More Help (b):

   How can this probability be represented as a fraction and a percent?

   Answer (b):

   $\frac{7}{24}\text{ or}\approx29 \%$

3. What is the probability that a teacher on the staff has been there for fewer than $5$ years?

   Hint (c):

   Based on the histogram, how many teachers have been teaching for less than $5$ years?