Q:

The table shows the​ number, expressed in​ millions, of citizens who moved in​ 2004, categorized by where they moved and whether they were an owner or a renter. find the​ probability, expressed as a decimal rounded to the nearest number of people in a certain country who moved in​ 2004, in millions moved to same region moved to different region moved to different country owner 11.6 11.6 2.7 2.7 0.4 0.4 renter 18.7 18.7 4.5 4.5 1.0 1.0 ​hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region to a different region. ​

Accepted Solution

A:
The table is attached.
You need to find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region.

What you need to calculate is the empirical probability: the number of success over the total number of outcomes.

People who moved to a different region = 2.7 + 4.5 = 7.2 millions
People who moved in 2004 = 11.6 + 2.7 + 0.4 + 18.7 + 4.5 + 1.0 = 38.9 millions

P = People who moved to a different region / People who moved in 2004
   = 7.2 millions / 38.9 millions = 0.18508997

Therefore, the probability that a randomly selected citizen who moved in 2004 was a person who moved to a different region is P = 0.19