Analyze categorical data to find some trends.

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 Lebron James, 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
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
192
Misses second shot
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
48
Column total18060240