Question

the table shows the number, expressed in millions, of citizens who moved in 2004, categorized by whom they moved and whether they were an owner or a renter. 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 | 2.7 | 0.3 | | renter | 18.7 | 4.5 | 1.1 | find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 2004 was a renter who moved within the same region. probability was a renter who moved within the same region is \boxed{} (round to the nearest hundredth as needed.)

Explanation:

Step1: Calculate total number of movers

First, we sum up all the values in the table. For owners: \(11.6 + 2.7 + 0.3 = 14.6\). For renters: \(18.7 + 4.5 + 1.1 = 24.3\). Total movers: \(14.6 + 24.3 = 38.9\) (in millions).

Step2: Identify renter-same region value

The number of renters who moved within the same region is \(18.7\) (in millions).

Step3: Calculate probability

Probability is the number of favorable outcomes (renter, same region) divided by total outcomes (total movers). So, \(P=\frac{18.7}{38.9}\approx0.48\) (rounded to nearest hundredth).

Answer:

\(0.48\)