(25 points) This probability distribution shows the typical distribution of the number of shoes in a teenager's closet. Using this distribution, find the probability that a teenager has fewer than 3 pairs of shoes in their closet.

According to the distribution, we have teenagers who have fewer than 3 pairs of shoes in their closets.

The total number of teenagers surveyed are 100 (add all frequencies).

Hence the required probability is:

$ \frac{12+20}{100}=\frac{32}{100}=0.32$

Alternatively, add the respective probabilities like so:

$P_{fewer \: than \: 3}=0.12+0.20=0.32$