# Trends in categorical data

Analyze categorical data to find some trends.
You might need: Calculator

### Problem

When a basketball player makes a trip to the free throw line, he takes two consecutive shots. It is often wondered whether these two shots are independent or dependent: does the probability of making the second free throw depend on whether a player makes the first free throw?
After analyzing data for basketball star Albert Jones, statisticians determined that his first and second free throws are entirely independent events. The frequency table below shows the data that analysts used to determine this independence.
Fill in the missing values from the frequency table.
Makes first shotMisses first shotRow total
Makes second shot
180
Misses second shot
70
Column total20050250